9.6 Let U be an n x 1 vector with 1 as its ﬁrst element and 0s elsewhere.

Consider computing the regression of U on an n x p’ full rank matrix X.

As usual, let H = X(X’X)‘1X’ be the hat matrix with elements 11,].

9.6.1 Show that the elements of the vector of ﬁtted values from the

regression of U on X are the h, j = l, 2, . . ., 11.

9.6.2 Show that the ﬁrst element of the vector of residuals is l — h, and

the other elements are 411,-, j gt; 1.

Statistics and Probability

## Find the zscore(s) for which 90%

of the distribution’s area lies between -z and

Question

**Find the z-score(s) for which 90% of the distribution’s area lies between -z and**

** z. (****Round answer to the nearest thousandths and use a comma to separate answers as necessary****.) (****Do not place a space in between your answers!****)**

Statistics and Probability

## Please answer the following questions based on the reading

(Demmer RT, Zuk AM, Rosenbaum M, Desvarieux M.

1 Diabetes Prevalence

Name

Institution Affiliation 2 1. What is the research question (aim of the research)?

The aim of the study is to estimate the prevalent rate of undiagnosed and diagnosed…

Statistics and Probability

## Question Final Shot

John Diggle needs to give up his trusted Glock for a more

Question

**Stun Gun (cm):**

**4.9**

**14.1**

** 7**

**7.2**

**5.4**

**8.6**

are the conditions for the problem met?

All the conditions of the Problem are wet.

For Glock ( 2 ) : –

His togvamy

class

Frequency

5 – 10

14

10 – 115

15 – 20

T

6

5 10 15 20

It is positively skewed

For Stun Gunlu) quot; –

Histogram…

Statistics and Probability

## A marketresearch firm was hired to determne the percentage of people in a market area who would purchase a

Question

# A market-research firm was hired to determne the percentage of people in a market area who would purchase a

client’s magazine if a door-todoor sales campaign were undertaken. The firm stated that 40% would buy if contacted at home. If the marketing company tried the sales campaign at 300 randomly selected homes and assuming the market research was done properly and the 40% is reprensatitive how many sales are expected if the publisher attempts to sell to 5,000 homes?

If the market research was accurate what is the probablity that fewer than 100 individuals will buy? use the approximation to the binomial.

Suppose that the publisher actually sells the magazine to 70 people out of the 300 contacted.What would you conclude about the market research? About the campaign?

Statistics and Probability

## Please assist with problem below Give an example of a problem dealing with two possibly

Question

# Please assist with problem below.

Give an example of a problem dealing with two possibly

related variables (Y and X) for which a linear regression model would not be appropriate. For example, the relationship could be curved instead of linear, or there may be no significant correlation at all.

What is the impact of using a linear regression model in this case? What options, other than linear regression, can you see? You do not need to collect any data.

Statistics and Probability

## How are these done using Excel?

1.

Consider a finite population with 5 elements

Question

# How are these done using Excel?

1. Consider a finite population with 5 elements

labeled A, B, C, D and E. 10 possible simple random samples of size 2 can be selected.

a. List the 10 samples beginning with AB, AC, and so on.

b. Using simple random sampling, what is the probability that each sample of size 2 is selected?

2. In order to estimate the average electric usage per month, a sample of 196 houses was selected and the electric usage determined.

a. Assume a population standard deviation of 350 kilowatt hours. Determine the standard error of the mean for the following.

b. With a 0.95 probability, determine the margin of error.

c. If the sample mean is 2,000 KWH, what is the 95% confidence interval estimate of the population mean?

3. A researcher is testing a new painkiller that claims to relieve pain in less than 15 minutes, on average. What’s would be the hypotheses associated with the researcher’s test.

4. At a certain manufacturing plant, a machine produced ball bearings that should have a diameter of 0.50 mm. If the machine produces ball bearings that are either too small or too large, the ball bearings must be scrapped. Every hour, a quality control manager takes a random sample of 30 ball bearings to test to see if the process is out of control (i.e. to test to see if the average diameter differs from 0.50 mm).

a. State the hypotheses associated with the manager’s test.

b. Describe a Type I error for this situation.

c. Describe a Type II error for this situation.

## Assist for a better understanding of below It is estimated 30% of all adults in United States

Question

# Assist for a better understanding of below:

It is estimated 30% of all adults in United States

invest in stocks and that 84% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments.

Statistics and Probability

## A financial analyst for a bank wants to analyze the relationship between customer’s credit scores and

Question

# A financial analyst for a bank wants to analyze the relationship between customer’s credit scores and

home-ownership. She suspects that renters have on average lower credit scores than home owners, and that credit scores improve over the time that customers live in their current residence. A linear regression model with these two variables confirms her suspicions. However, she now wonders whether the time lived at current residence equally affects home owners and renters. To answer this question, which variable (or variables) should the analyst include in her regression model?

a.dummy variables for the renters who have lived in their current residence the longest

Statistics and Probability

## FOR NEXT 3 QUESTIONS USE THE FOLLOWING DIRECTION Manager of a grocery store wants to test to determine whether or

Question

# FOR NEXT 3 QUESTIONS USE THE FOLLOWING DIRECTION: Manager of a grocery store wants to test to determine whether or

not the mean waiting time of its customers is significantly more than 4 minutes. He takes a random sample of 36 customers and finds that the average length of time it took the customers in the sample to check out was 4.6 minutes. A national study estimates that standard deviation of length of time of grocery store customers is 1.8 minutes. What is the computed value of test statistics for this study?

1.96

1.64

2.00

0.056

None of the above

Flag this Question

**Question 39**

**2.5 pts**

The P-value of this study is

between 0.005 to 0.01

0.01

0.025

0.0228

0.9772

Flag this Question

**Question 40**

**2.5 pts**

At 5% level of significance, it can be concluded that the mean of the population is

significantly greater than 4

not significantly greater than 4

significantly less than 4

significantly less than 4.6

Statistics and Probability

## Preston an official for a state’s department of safety wants to show that the population mean speed of passenger

Question

# Preston, an official for a state’s department of safety, wants to show that the population mean speed of passenger

vehicles traveling on a certain expressway is greater than the posted speed limit of 65mph. Preston collects a random sample of 59 passenger vehicles traveling on the expressway and finds that the sample mean speed is 67.1mph

with a sample standard deviation of 7.5mph. The test statistic t for a hypothesis test of H0:μ=65 versus Ha:μ65 is t≈2.15

with 58 degrees of freedom. If 0.01p-value0.025 and the level of significance is α=0.10, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean speed of passenger vehicles traveling on the expressway is greater than 65mph?

Statistics and Probability

## Problem Set 1 Pearson Correlation Coefficient AnalysisResearch Scenario

Question

**Problem Set 1: Pearson Correlation Coefficient Analysis**

**Research Scenario:**

A clinical psychologist would like to determine whether there is a relationship between observer ratings of children’s externalizing behaviors and scores on an established diagnostic interview assessing externalizing disorders (like ADHD, CD, etc.). He administers the diagnostic interview to 25 children and records these scores. He then trains an observer to independently rate carefully-defined externalizing behaviors for each of the 25 children. These scores are totaled for an overall externalizing behavior index. On both the interview and the behavioral ratings, a higher score indicates higher levels of externalizing behavior. These scores are listed in the table below.

**Using this table, enter the data into a new SPSS data file and run a Pearson correlation coefficient analysis to test whether there is a relationship between the interview scores and the behavior ratings in this sample. scatterplot to show the relationship between the variables.**

- Paste SPSS output.
- Results section based on your analysis including independent and dependent variables, confidence interval, effect size, 1 or 2 tailed and the p value.

**Problem Set 2: Pearson Correlation Coefficient Analysis**

**Research Scenario:** A social worker involved in suicide prevention efforts wants to study the relationship between social isolation and possible suicide risk. She collects scores from a sample of 13 patients on two measures: one is a measure of social isolation on which higher scores indicate higher isolation (possible range of scores = 0- 20), and the other is the Suicide Risk Scale (SRS, Plutchik et al., 1989), on which higher scores indicate a higher risk of suicide (possible range of scores = 0-15). These scores are listed in the table below.

**Using this table, enter the data into a new SPSS data file and run a Pearson correlation coefficient analysis to test whether there is a relationship between social isolation and possible suicide risk. scatterplot to show the relationship between the variables.**

Interview (Range 0

to 9)

Externalizing Behavior Index

(Range 0 to 25)

7

9

6

9

22

20

IN A WOOD

12

10

9

-JU

16

19

21

22

4

7

7

3

13

19

16

12

9

Statistics and Probability

## I am having trouble with this question Can anyone help me fine some articles related this? 1

Question

# I am having trouble with this question. Can anyone help me fine some articles related this?

1.

Take a look at the article by Cryer (link below). It is an old article that listed the deficiencies of using Excel as a statistical software. However, Microsoft has fixed many of these problems in the latest version of Excel.

Find on the internet an article that discusses the pros and cons (advantages and disadvantages) of using Microsoft Excel for statistical analysis. the link, and the title.

https://drive.google.com/file/d/1e9w-0EOn-4dn7qsSdy3tQzMYIX11ND1r/view?usp=sharing

Statistics and Probability

## N people put their phones in a bowl and each one takes a phone at random What is the

Question

# N people put their phones in a bowl, and each one takes a phone at random.

What is the

probability that nobody takes their own phone in the limit as N →∞?

(You do not need to compute the probabilities numerically in this problem, but the derivation of your ﬁnal expression should be clear.)

Statistics and Probability

## Hey guys i need some help with s statistics and probability please help

Binomial distribution

n=

p= 4

0.6 (a) Calculate P(X=0, 1, 2, 3, 4)

X

0

1

2

3

4 P(X)

0.0256

0.1536

0.3456

0.3456

0.1296 (b) Provide graphical representation of the above distribution Bar Chart of…

Statistics and Probability

## (What best describes the question bellow)Question 1 Two 95% mean confidence intervals indicate a

Question

# (What best describes the question bellow)

Question 1: Two 95% mean confidence intervals indicate a

difference between means at less than the alpha = .01 level when:

-The endpoints do not touch

-The endpoints just barely overlap

-The endpoints overlap by about 25% of their range

-We cannot use single mean confidence intervals to determine differences.

Statistics and Probability

## This is economic class homework#2 This home requires using SAS code And the following files are about

Part 1: Output

A) PRINT procedure output

Obs Truancy – At Home

At At Home – At Home

Skip – Mother Home – Brothers – Sisters

classes

Father

within

school

day At Home – At Home

Grandparents – Others…

Statistics and Probability

## A group of students with normally distributed salaries earn an

average

of

$6,800 with a

standard

Question

# A group of students with normally distributed salaries earn an average of $6,800 with a standard

deviation of $2,500

Find the cutoff for the salary that corresponds to the lower 25% of all salaries. Use Excel, and round your answer to the nearest integer.

Please help! i know the mean is 6800 and the SD is 2500 but am totally lost after this!

Provide your answer below:

Statistics and Probability

## 1 Develop a decision tree based on airbus and boeing superjumbo decisions 2 Analyze and comment on the

Question a Question b

It is better for Boeing to loose $100 million than loosing $300 million, in that perspective Boeing

will be comfortable to accommodate Airbus in the market. On the other hand,…

Statistics and Probability

## 1 Cort Industries owns assets that will have a(n) 75 % probability of having a market value of $ 58 million one

Question

# 1.cort Industries owns assets that will have a(n) 75 % probability of having a market value of $ 58 million one

year from now. There is a 25 % chance that the assets will be worth only $ 28 million. The current risk-free rate is 2 %, and Acort’s assets have a cost of capital of 4 %. a. If Acort is unlevered, what is the current market value of its equity? b. Suppose instead that Acort has debt with a face value of $ 26 million due in one year. According to MM, what is the value of Acort’s equity in this case? c. What is the expected return of Acort’s equity without leverage? What is the expected return of Acort’s equity with leverage? d. What is the lowest possible realized return of Acort’s equity with and without leverage?

2.Hartford Mining has 60 million shares that are currently trading for $ 3 per share and $ 70 million worth of debt. The debt is risk free and has an interest rate of 5 %, and the expected return of Hartford stock is 11 %. Suppose a mining strike causes the price of Hartford stock to fall 20 % to $ 2.40 per share. The value of the risk-free debt is unchanged. Assuming there are no taxes and the risk (unlevered beta) of Hartford’s assets is unchanged, what happens to Hartford’s equity cost of capital?

A

2

a) If Acort is unlevered, what is the current market value of its equity?

million

4

equity value of assest= (75% x 58)+(25% x 28)

50.5

5

expected curant market value

50.5

6

cost of capital of =…

Finance

## 4 points

Question 2

- Which of the following can be reduced by proper interviewer

Question 1

1. Which of the following is most likely a population as opposed to a sample?

2. respondents to a newspaper survey

3. the first 5 students completing an assignment

4. every third person…

Statistics and Probability

## Application of two sample tests Hypothesis proportion female adults in maine 4560 who smoke greater than

Question

# application of two sample tests Hypothesis proportion female adults in maine 45-60 who smoke greater than

proportion female adult 45-60 in MA who smoke.

Independent Poll discovers 68 out of 140 female Maine residents aged 45-60 smoke- and 79 out of 162 MA female age 45 – 60 smoke. Propose a hypothesis test to compare these two populations.

Statistics and Probability

## Hello I need help with the following math problem Can you please show solution ? Question

Question

# Hello , I need help with the following math problem. Can you please show solution ?

Question

1

Solve the problem. A sprinkler rotates 360° to water a circular region. If the total area watered is approximately 2,200 yd 2 determine the radius of the region (the radius is length of the stream of water). Round the answer to the nearest yard.

Question 2

Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.

Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial

t2 -13/4t + N

Statistics and Probability

## If we have two group means to compare we use a z or t test as we have seen assuming we can meet the assumptions

Question

# If we have two group means to compare, we use a z or t test as we have seen, assuming we can meet the assumptions

of a parametric test. If we have three or more group means to compare, we would have to do multiple z or t tests, but this is just not feasible, and multiple tests would increase our probability of type 1 error. So we use ANOVA. ANOVA uses the F ratio (a ratio of Variances) to inform us on any differences among group means. Discuss.

How do you interpret the ANOVA table in Checkpoint 4?

Statistics and Probability

## Please see attachment for 3 questions This is for a probability and statistical method course Book used is

Mercedes Arias – Assignment 1

1. Define a population. Give an example of a population. In statistics, a population is a set of similar items or events which is of interest for some

question or…

Statistics and Probability

## Talking about sample size Which of the following is needed for a sample size

Question

# Talking about sample size,

Which of the following is needed for a sample size

calculation?

a. What variable you will measure

b. Desired potential for a Type 1 error

c. Knowing if it will be a random sample

d. The size of the population from which you will collect your random sample

Which of the following is true about sample size?

Statistics and Probability

## Problem Set 4 Research Scenario A community psychologist is interested

Question

**Problem Set 4: **

**Research Scenario: **A community psychologist is interested

in whether spending time in after-school programs is predictive of the number of arrests as a young adult in a high-risk neighborhood. After collecting records on 17 individuals over 8 years, she compiles the information listed in the table below. Does the time spent in after school programs predict the number of arrests after age 17?

**Using this table, enter the data into a new SPSS data file. Use the appropriate test to analyze the question and the appropriate graph. **

- Paste SPSS output.
- Results section based on your analysis including independent and dependent variables, confidence interval, effect size, 1 or 2 tailed and the p value.

**Problem Set 5: **

**Research Scenario: **An addictions counselor is compiling data on the main substance used by each of his 23 clients before treatment. Based on the admissions data he has, he divides the substances into three main categories: Alcohol, Opioids, and Cocaine/Crack Cocaine. He records the number of clients in each category based on their reports of which substance they primarily used before seeking treatment. The frequencies are listed in the table below. Is the number of clients spread equally across the three types of substances?

**Using this table, enter the data into a new SPSS data file. Use the appropriate test to analyze the question and the appropriate graph. **

**Problem Set 5: **

**Research Scenario: **An addictions counselor is compiling data on the main substance used by each of his 23 clients before treatment. Based on the admissions data he has, he divides the substances into three main categories: Alcohol, Opioids, and Cocaine/Crack Cocaine. He records the number of clients in each category based on their reports of which substance they primarily used before seeking treatment. The frequencies are listed in the table below. Is the number of clients spread equally across the three types of substances?

**Using this table, enter the data into a new SPSS data file. Use the appropriate test to analyze the question and the appropriate graph. **

- Paste SPSS output.
- Results section based on your analysis including independent and dependent variables, confidence interval, effect size, 1 or 2 tailed and the p value.

Statistics and Probability

## I have attached a document that is for extra credit in my statistics class I have no idea how to do any of these

Solution:

a) Here, n=10, p=1/4=0.25, q=1-p=0.75

To pass the quiz student has to answer 8 correct options.

Probability the student will pass the quiz C (10,8)(0.25)8 (0.75) 2 0.0004…

Statistics and Probability

## Im working on probability in stats and am having trouble understanding it

I was wondering if I could get

Probability

No Data Set Needed

1.1 Situation: The High School and Beyond data is from a large-scale longitudinal study

conducted by the National Opinion Research Center (1980) under contract with…

Statistics and Probability

## 1 In a sample of 610 Bostonarea residents selected on July 2 209 reported that they were

Confidence Interval Estimate for the Proportion

Data

Sample Size

Number of Successes

Confidence Level 610

209

80% Intermediate Calculations

Sample Proportion

0.3426229508

Z Value

-1.281551566…

Statistics and Probability

## As you continue to help Ima at Getta Byte Consider the following questions for the Getta Bill project How should

Question

# As you continue to help Ima at Getta Byte, Consider the following questions for the Getta Bill project. How should

the risks be prioritized? Who should do the prioritization of the project risks? How should project risks be monitored and controlled? Who should develop risk responses and contingency plans? Who should own these responses and plans?

Transcript

Getta Byte Software Risk Management We need a risk management plan for our project. We are meeting to brainstorm what the risks could be. I don’t like talking about risks. It makes them come true. No, it doesn’t. It helps us decide what to do if something goes wrong. Network capacity could be a problem during data transfer. Great start! Let me get it into the risk register. Let’s think about a possible response to avoid, mitigate, transfer, or accept these risks. We still need to do qualitative analysis to decide probability and impact. Not today, my brain hurts. The end

Project Management

## 1 Discuss the purposes of doing research Give an example of each by using a hypothetical from the field of

1. Discuss the purposes of doing research. Give an example of each by using a

hypothetical from the field of criminal justice.

The main purpose of pure scientific research is to find an explanation…

Statistics and Probability

## See attach I will like the right answers to compare with my quiz

Week 2 – Quiz 2 Time Remaining: Question 1. 1. In a screening test, the probability of a person with the disease having a positive test is:

(Points : 1)

Sensitivity

Specificity

Positive Predictive…

Science

## Find Pr{N(t)>

=k} is a renewal process having lifetime density

f(x)= rho*exp^(-rho(x-delta)), for x

Finding Pr{N(t)gt;=k}, and it is a renewal process having lifetime density

We know P(N(t) = k) = Fk(t) − Fk+1(t)

where f(x) = rho * exp(-rho 9x-delta)) /x/ ≤ 1 or Fk(t) = P[Sk ≤ t] and Sk =…

Statistics and Probability

## A management consulting team needs a team of four to analyze the operations of a new client The team should

Question

# A management consulting team needs a team of four to analyze the operations of a new client. The team should

comprise an accountant, a production specialist, a finance specialist, and a management specialist. On its staff, the consulting firm has available six accountants, five production specialists, three finance specialists, and eight management specialists. How many different teams could be formed from the available individuals

Statistics and Probability

## Question 1Suppose that each individual in a large insurance portfolio

Question

**Question 1**

**Suppose that each individual in a large insurance portfolio**

** incurs losses according to an exponential distribution with mean (1/**** λ), where λ varies over ****the portfolio according to a G(****α, δ) ****mixing distribution. The respective densities of the two distributions are given by:**

**(a) Show that the marginal distribution of losses follows a Pareto distribution, i.e. P(****α, δ)**

**(b) ****Use the mixing formulation of the Pareto to deduce that if X~P(****α, δ), then E(X) = α / (δ – 1)**

Statistics and Probability

## Course for micro econ and I am not so good with uncertainty

1. A wage earner, Mister T, with initial wealth to = $1600, has a Bernoulli utility

function u(:r) = ﬂ. His monthly wage amounts to $2000. He can be sacked

with probability 0.2. An insurance company designs an insurance contract against

unemployment. If Mister T pays an insurance premium of $156, he will receive

$1056 if he is sacked. There are only two periods: a ﬁrst one at which decisions are

taken and a second one at which all uncertainty is resolved. Assume that Mister T’s preferences satisfy the conditions of the expected utility theorem. (a) Does Mr. T decide to insure himself against unemployment? (b) Supposing that the insurance premium is $156, what is the minimum amount

of money that the insurance company must disburse to Mr. T in case of unemployment, if it wants Mr. T to buy a contract?

Economics

## Problem 87Vollmer Manufacturing makes three components for sale to refrigeration

; 1st row is for objective function; last a) row is gt; 0

Optimal solution, C1 = 600; C2 = 700 and C3 = 200

b) C1 – No lower limit to 9.00

C2 – 5.33 to 9.00

C3 – 6.00 to No Upper Limit

c) 4400 to…

Statistics and Probability

## Hello there ! I need your help again please!! I used you before and was very please with your work!

Green amp; Salkind: Lesson 40, Exercises 1–4 1. Use the method reviewed in the presentation to weight the cases for this data set.

(no points—done in data file)

2.

Descriptive Statistics

Std….

Statistics and Probability

## 1 The drug Plavix requires the enzyme CYP2C19 to take it from the prodrug form to the drug form (enzyme A

Question

**1, The drug Plavix requires the enzyme CYP2C19 to take it from the prodrug form to the drug form (enzyme A**

** below) and it requires the enzyme CES1 to convert it from active to inactive (enzyme 1 below). The active form of the drug is effective in preventing blood clots but is toxic in higher doses. Individuals with a mutation in this CES1 gene produce a version of CES1 that is not functional. You are a physician trying to determine the dosage of Plavix for a patient who is homozygous for the mutated version of the gene. What should you do?**

- Decrease the normal dosage because they are making too much of the drug
- Increase the normal dosage because they are making too much of the toxic endproduct
- Increase the normal dosage because they are not making enough of the toxic endproduct
**(Choose another drug as the individual will likely suffer from too much toxicity? my guess)**

**2, In pea plants, yellow peas (Y) are dominant to green (y) and round peas (R) are dominant to wrinkled (r). Two pea plants were crossed, one with yellow round peas and one with green wrinkled peas. What were the genotypes of the parents?**

- The yellow round was YYRR and the green wrinkled was yyrr
- The yellow round was YyRr and the green wrinkled was YyRr
- The yellow round was yyrr and the green wrinkled was YYRR
- The yellow round was YYrr and the green wrinkled was yyRR

**3, When Mendel crossed a plant with smooth green peas and a plant with wrinkled yellow peas, what did he find?**

- Color and shape of pea are linked (if you have a smooth pea it has to be green)
- Color and shape of pea are not linked (if you have a smooth pea, it can be green or yellow)
- Only yellow peas produce leaves
- Only smooth peas produce leaves

**4, A cross is performed between a plant with genotype TtYy and a plant with genotype Ttyy. T refers to height (tall) and Y refers to color (yellow or white). If the two genes independently assort, what is the probability, expressed as a percent, that the offspring will be heterozygous for the height gene?**

Science

## Attached are chapter 11 and 12 practice questions I would like these done (show all work please where indicated)

Chapter 12 Practice Questions

1. A __________________ is a hypothesis test that includes two nominal independent variables and an interval

dependent variable, and a __________________ is a…

Statistics and Probability

## Hi!

I attached the questions that I need answered.

I need the work shown or any explanations stated.

Could

STAT 200 Final Examination Spring 2016 OL1/US1 Page 1 of 11 STAT 200 Introduction to Statistics Name______________________________ Final Examination: Spring 2016 OL1 / US1 Instructor…

Statistics and Probability

## Stephan has the utility function U(w) = 3 where w is his wealth Initially Stephan has w = $100 Would Stephan

Question

# Stephan has the utility function U(w) = 3, where w is his wealth. Initially, Stephan has w = $100. Would Stephan

pay $5 to take the following gamble: With probability 0.03 he wins $25; otherwise, he wins nothing. Explain why insurance companies usually do not offer earthquake insurance.

Economics

## This project is for InTelTutor only please Hi IntelTutor!!!this is ConstableComputerQuail57 remember me? You

Imagine you are a manager at a major bottling company. Customers have begun to complain that the

bottles of the brand of soda produced in your company contain less than the advertised sixteen (16)…

Statistics and Probability

## The following sample data sets Find the appropriate center of the data (mean or median) and the appropriate

Question

# the following sample data sets. Find the appropriate center of the data (mean or median) and the appropriate

measure of variability (standard deviation or interquartile range). Explain why you chose these measures. Describe the shape of the data distribution and explain why you chose that shape. Include any information that will help your readers understand or visualize your data set.

DATA SET B 302.4 262.8 255.6 214.2 230.4 345.6 237.6 253.8 370.8 333.0 271.8 266.4 280.8 271.8 358.2 354.6 228.6 302.4 270.0 266.4 361.8 273.6 252.0 307.8 295.2 297.0 313.2 295.2 183.6 320.4 252.0 279.0 304.2 289.8 280.8 372.6 288.0 289.8 320.4 288.0

R

S

W X

Z

AA

AB AC AD

AE

B

C

D

E

G

H

K

O

Q

1

302.4

183.6

Bin

Frequency

Histogram

262.8

mean

214.2

180

0

3

255.6

288.5

AVERAGE(A1:A40)

228.6

190

214.2

230.4

200

0

230.4

median

237.6

210

0 –

345.6…

Statistics and Probability

## The field of Operations Research involves the use of statistics and simulation to make business decisions Find

The field of Operations Research involves the use of statistics and simulation to make business

decisions. Find an example of operations research in practice today.

You would need to:

1. Find an…

Statistics and Probability

## An analyst has been studying a particular stock and has come to the following two conclusions the

Question

# An analyst has been studying a particular stock and has come to the following two conclusions:

- the

probability that the stock will rise on a particular day is 0.3

Calculate the probability that over the next week (7 days) the number of days that the stock will rise is **not** 3. Give your answer as a decimal to 2 decimal places.

Probability =

[1 mark]-

Statistics and Probability

## Would send me the answer for the question 1 please find enclosed the questions

Problem 1 (25 pts)

The cost of 14 models of digitals cameras at a

camera specialty store during 2014 was as follows: 340 450 450 280 220

340 290 370 400 310 340 430 270 380

1. Compute mean, median,…

Statistics and Probability

## Please complete your solutions in excel Be sure to use separate tabs for each question

UMUC’s Business Management department is concerned that dual degree stu Two independent random samples have been selected. 150 observations from population 1 (dual degree

It is known from past…

Statistics and Probability

## Suppose researchers are interested in a program that is intended to reduce overall calorie intake in a group of

Question

# Suppose researchers are interested in a program that is intended to reduce overall calorie intake in a group of

women looking to lose weight after pregnancy. The program manager sets a daily calorie intake limit of 2,050calories/day. Which of the following represents the null and alternative hypotheses representing a two-sided one sample t-test for the average calorie consumption in the weight management program?

Statistics and Probability

## The data for Questions 1 and 2 of this assignment is the houseprice sample of size 50 that you selected in Part 2

Question 1

Revisit Part 2 of Assignment 1.

A real estate agent has received data on 1000 houses that were sold last year in a

suburban community. Included in this data set are observations on the…

Statistics and Probability

## I need help understanding how to use SPSS with the specific tasks that are attached

I have no idea how to use

Question:

I need help understanding how to use SPSS with the specific tasks that are attached. I have no

idea how to use the program. Here are the questions.

Locate the data set…

Statistics and Probability

## Hi I need help with this answer in Excel The Laurenster Corporation is

Question

# Hi,

I need help with this answer in Excel.

The Laurenster Corporation is

getting into the construction business. A list of activities and their optimistic, most likely, and pessimistic completion times are given in the following table for the next construction project.

(a) Develop a project network for this problem. (b) Determine the expected duration and variance for each activity.

(c) Determine the ES, EF, LS, LF, and slack time for each activity. Also determine the total project completion time and critical path(s).

(d) What is the probability that this job will finish in 38 days or less?

Math

## Would anyone have all the formulas needed for the final for math 339 applied statistics for chamberlain school

Basic Statistics Formulas

Population Measures Probability 1X

xi

n

1X

(xi − x)2

Variance σ 2 =

n

r

1X

(xi − x)2

Standard Deviation σ =

n

Mean µ = P (A or B) = P (A) + P (B) − P (A and B)…

Statistics and Probability

## About two assignments of STAT 2509 ( which about Computational Statistics (Statistical Modeling II))， in

Question 1: Question 2: Question 3: Question 4: Question 5: (a) Two-sided hypothesis: The research hypothesis, i.e. the alternative hypothesis that is set for testing a significance difference…

Statistics and Probability

## Question 11 A researcher wants to construct a 99% confidence interval for the proportion

Question

**Question 11 **

A researcher wants to construct a 99% confidence interval for the proportion

of people who changed jobs in the past year. What sample size is needed so that the confidence interval will have a margin of error of 0.042 ?

Write only an integer as your answer.

**Question 13 **

Consider the following hypotheses:

H0: mean = 7

H1: mean 7

A test is performed with a sample of size 36. The sample mean was 2.50 and the population standard deviation is 18. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value.

Round your answer to four decimal places (for example: 0.0138). Write only a number as your answer.

Statistics and Probability

## 1 ) Because the

QQ Plot

**shows most**

With more and more students utilizing bus service, especially during the colder months, it is pertinent to reduce the wait times for students. A local high

school’s Bus Route 65 has a posted pick up time for Stop 1 on the route, at the corner of Ave B and 56th Street, to be 7:03 am. The bus cannot be

there any earlier than 7:03 am, or students will not be ready. The rest of the stops are dependent upon this Stop 1’s timing, so a bus driver is asked to

record the time (in minutes and seconds) that they were at Stop 1, and the administration will pick a random sample of 19 of the days to analyse. The

data will be recorded as minutes waiting after the 7:03 am posted time, and may include decimals for precision.

The administration will take action if it is likely that the population mean number of minutes waiting after 7:03 am at Stop 1 on Bus Route 65 is greater

than 3 minutes. That is, they will test these hypotheses at a 5% level:

Ho : H = 3 minutes

Ha: H gt; 3 minutes

Statistics and Probability

## I need Help with Unit 9 Project PLEASE!!!I have attached the document along with the steps needed to solve

Unit 9 Project Review Sheet

1. Allen Machines specializes in developing weed-harvesting equipment that is used to clear small lakes

of weeds. Allen Machines is contemplating the construction of a…

Statistics and Probability

## A sociologist is interested in the relation between x = number of job changes and y = annual

Question

Interpretation

For each less job change, the annual salary increases by an amount that falls outside the confidence interval.

For each less job change, the annual salary increases by an amount that falls within the confidence interval.

For each additional job change, the annual salary increases by an amount that falls within the confidence interval.

For each additional job change, the annual salary increases by an amount that falls outside the confidence interval.

Statistics and Probability

## We described several algorithms for learning classifiers including Logistic Regression Linear Discriminant

1 Logistic regression

This is the appropriate regression analysis which is conducted when the dependent variable is

dichotomous.

The logistic regression is a predictive analysis; it is used to…

Statistics and Probability

## Talk about where you see probabilities in your work and personal life not everyone can talk about

In the company I was working there are 50 employees. The classification of the employees

according to their major of study and their degree in that major is as given below: Major | Degree…

Statistics and Probability

## HiPlease help me answer this question on regression

The more simple and straightforward the response ,

Suppose I want to predict the sales of Café Coffee Day in the next month. My dependent

variable is sales of Café Coffee Day. Independent variables are customer satisfaction ratings and

service…

Statistics and Probability

## Given that a nurse has NOT had a voluntary screening uptake what is the probability that they were worried about

Question

# Given that a nurse has NOT had a voluntary screening uptake, what is the probability that they were worried about

their future health? (Conditional probability) Report in 3 decimals

Statistics and Probability

## Hey Professor sorry about bringing this question to you so late i would really appreciate if you can help

Customer Order Processed

Units Ordered

Units Shipped

Correct Units Shipped

Correct Customer Invoices

Orders Ready by Deadline

Total Labor Hour (units/hr) September August

50,000

40,000

300,000…

Statistics and Probability

## I need complete solutions for my statistic assignment Please see attached

;

Question

# I need complete solutions for my statistic assignment. Please see attached

Math 12

Chapters 6-9 Worksheet

Read each question carefully and follow all instructions exactly. Correct

answers without adequate supporting work will not receive full credit,

so show work whenever…

Statistics and Probability

## Hi I have a homework question that I just don’t think I have the formula right Question

Question

Question:

The logistic equation is commonly used to model growth phenomena in biological populations: Y = (L/(1+e^-a(x-b)), where Y is the response, x is the input, L, a, and b are constants. Assume that L is given as L0, find the least squares estimations of a and b.

If L0 it can be treated as a constant. So we are looking for P(a) and P(b). I was trying to write the bottom part taking the reciprocal of the negative exponential making it Y= L(1+e^a(x-b)). Then multiplying everything by the log, making Y = ln(L) (1+(ln(a))(ln(x-b)). But i don’t know if this is the right step or even what formula to apply to get Probability of a or b.

Statistics and Probability

## Need help with understanding questions 1625 Thanks

Question

# Need help with understanding questions 16-25.Thanks

Question 16:

a) In this case we need to select 12 items from 19 items where the order does not matter so

we need to use the approach of combination.

Thus required number of ways = 19C12 = 50388

b)…

Statistics and Probability

## Assistance needed Accuracy is needed in this please Quality assistance needed

Question

# Assistance needed. Accuracy is needed in this please. Quality assistance needed

STAT 200 Final Examination Fall 2016OL1/US1 Page 1 of 14 STAT200Introduction to Statistics Name______________________________

Final Examination: Fall 2016 OL1/US1Instructor…

Statistics and Probability

## The award process involve a series of tasks such as completing thedetermination of responsibility small

Question

# The award process involve a series of tasks such as completing the

determination of responsibility, small

business pre-award notice, contract

action report (CAR), and contract distribution. What other task occurs

during the Award step of the Solicitation-Award phase of an acquisition?

Statistics and Probability

## True or false 1 A utility curve that shows utility increasing at an increasing rate

Question

True or false:

1- A utility curve that shows utility increasing at an increasing rate

as the monetary value increases represents the utility curve of a risk seeker

2- A seasonal index must be between -1 and +1

3- Utility theory provides a decision criterion that is superior to the EMV or EOL in that it may allow the decision maker to incorporate her own attitudes toward risk

4- The SSE measures the total variability in the independent variable about the regression line.

5- The Delphi method solicits input from customers or potential customers regarding their future purchasing plans

6- When using the EOL as a decision criterion, the best decision is the alternative with the largest EOL value.

7- Any time that we have an isoprofit line that is parallel to a constraint, we have the possibility of multiple solutions

Statistics and Probability

## 1 CLT True or False? The Central Limit Theorem (CLT) guarantees that the sample mean is normally

Question

Explain why the results were different and why your test was a stronger and more reliable test.

Answers:

(1) You should start by running the same test he did in which he came to

the decision that he could not conclude a difference.

From the data given, the mean and variances are as follows….

Statistics and Probability

## Can someone answer the following problems below and show work 1

The average

Question

Which of the above two problems (a) or (b) requires application of the Central Limit Theorem? Explain your reasoning.

4. Assume that the mean diastolic blood pressure of normal adults is 80 millimeters of mercury (mm Hg) with a standard deviation of 4.8 mm Hg. Assume that the variable is normally distributed. If a sample of 30 adults is randomly selected, find the probability that the sample mean will be between 80 and 81.4 mm Hg.

Statistics and Probability

## I need an expert in Business Analysis (Stat) college lvl 300 with these 5 problems and also who can work with me

Question

# I need an expert in Business Analysis (Stat) college lvl 300 with these 5 problems and also who can work with me

further later.

There is only one attempt to submit and score this assignment. If I cant get 100% in the first time, payment can not be processed.

I also want to know how long will it take to solve these problems. Thank you !

BUS310 1. A random sample of 25 observations was taken from a normally distributed population. The

average in the sample was 84.6 with a variance of 400.

a. Construct a 90% confidence interval for…

Statistics and Probability

## This is about a statistical computing problem Can some

Question

This is about a statistical computing problem. Can some

solve this? Coding in R is preferred.

7) Given a probability distribution F and a point x 6 Rd, at depth Mam D measures . ‘ _ d

how close x is to the center of the distribution and deﬁnes a rank order on pomt-S m R with respect to F. Observations which are far from the center of the data are given low ranks, whereas observations close to the center receive higher ranks. The Mahalano‘ois

depth MD; F) of a vector is with respect to a distribution function F with mean vector

piF and dispersion matrix 2;: is deﬁned to be MD(t; F) = [1 + it — #F)’231(t — tell—1- The sample version is computed by plugging in estimated ftp and $1.1. 0 5.. Write a program to generate a sample of size n from a bivariate normal distribution

(F) with mean up = (O, 0), unit variances and Correlation 0.5. If you code in R1 see the function mahalanobis(x, center, cov). Let n = 10. Print the observations, their

mean and covariance, and the depth of each data point. Find and print the bivariate median; i.e. the bivariate vector that maximizes the depth function. e b. Generate n = 1000 bivariate observations from F. Plot all observations and identify the lowest 5 percent of the data in red.

Statistics and Probability

## 2 The population of lengths of aluminumcoated steel sheets is normally distributed with a mean

Question

**2.** The population of lengths of aluminum-coated steel sheets is normally distributed with a mean

of 30.0 inches and a standard deviation of 0.9 inches. A sample of 36 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 29.70 and 30.24 inches long?

Economics

## The following 3 questions (Q10 to Q12) are based on the following information John has the phone numbers of

Question

# The following 3 questions (Q10 to Q12) are based on the following information:

John has the phone numbers of

many young ladies. Some of these young ladies are

blonde and others are brunettes. In addition, John knows that some are single while others have

boyfriends. The exact breakdown is as follows:

Blonde Brunette

Single 15 18

Taken 10 12

Find the following probabilities:

Q10: What is the probability of selecting someone who is taken, given that they are blonde?

Q11: What is the probability of selecting a single brunette?

Q12: What is the probability of selecting someone who is brunette, given that they are taken?

Q13: A coin is tossed four times. Which of the following sequences of heads (H) and tails(T) is

more likely?

A. HTHT

B. HHHT

C. THHH

D. TTTT

E. all are equally likely

F. none of the above

Q14: If an event can occur twice out of every 10 times, it has the probability value of

A. 0.10

B. 0.20

C. 0.50

D. none of the above three answers are correct

Q15: Probabilities are expressed with what values?

A. negative infinity to positive infinity

B. 0.00 to positive infinity

C. 0.00 to +1.00

D. -1.00 to +1.00

Statistics and Probability

## A real estate agent claims that the mean living area of all singlefamily homes in his country is at least 2400

Question

# A real estate agent claims that the mean living area of all single-family homes in his country is at least 2400

square feet. A random sample of 50 such homes selected from this country produced the mean living area of 2540 square feet and a standard deviation of 472 square feet.

a. Using a significance level of 5%, can you conclude that the real estate agent’s claim is true? Use a diagram and show the 5-step method.

b. What would be the probability of committing a Type I Error in this case?

Statistics and Probability

## 1 A bag contains blue and red balls Two balls are drawn randomly without replacement The probability of

Question

# 1. A bag contains blue and red balls. Two balls are drawn randomly without replacement. The probability of

selecting a blue and then a red ball is 0.2. The probability of selecting a blue ball in the first draw is 0.5. What is the probability of drawing a red ball, given that the first ball drawn was blue?

a) 0.4

b) 0.2

c) 0.1

d) 0.5

2. A die is rolled thrice. What is the probability that the sum of the rolls is atleast 5.

a) 1/216

b) 1/6

c) 3/216

d) 213/216

Statistics and Probability

## Please i need a faster tutor to give me answers to this

question paper.

Question

# please i need a faster tutor to give me answers to this question paper.

INFERTILITY • • • Infertility is defined as no conception after

1 year of unprotected intercourse (i.e.,

without contraception).

Fecundability, or the monthly probability of

pregnancy, is…

Entrepreneurship

## 4 The Uris &

Warren Ratings Agency rates bonds on a simpliﬁed scale with just three categories: A,

Question

# 4. The Uris Warren Ratings Agency rates bonds on a simpliﬁed scale with just three categories: A,

B,

and C.T he Professors Pension Fund has all its money invested in two bonds, X and Y , both of which are

currently rated B. Over the course of the next year the ratings of the bonds may change; the end-of-year

value (in millions) of each bond depends on its end-of-year rating as in the following table:

Rating X Value Y Value

A

100

100

B

75

75

C

50

50

The joint distribution of the end-of-year ratings of the two bonds is given by the following table:

Y

A

B

C

A

0.2

0.05

0

X

B

0

0.4

0.1

C

0

0.05

0.2

(a) Find the probability that bond X will be rated C at the end of one year.

(b) Find the expected value of the year-end value of bond X.

(c) The Pension Fund buys an insurance contract that will pay 20 million if either bond is downgraded

to C.If both bonds are downgraded the contract still pays 20; if neither is downgraded the contract pays

nothing.F ind the expected value of the payoﬀ of the insurance contract.

Statistics and Probability

## Can you assist me with the attached document?

IT consist of probabilities and contingency tables.

Question

# Can you assist me with the attached document? IT consist of probabilities and contingency tables.

MGMT 650 Fall 2016 Problem Set 2

1. Compute these probabilities:

a. The probability of rolling the number 6 using one die. 1/6

b. The probability of rolling the number 6 twice in 2 rolls using only…

Statistics and Probability

## ABC Toys Inc is trying to determine whether to make significant alterations to their best selling product line

Question

# . ABC Toys Inc. is trying to determine whether to make significant aerations to their best selling product line.

ABC has hired a marketing research company to perform focus group analysis in order to get a better idea of the demand for the changes The marketing analysis is expected to show a 65% positive outlook and 35% negative outlook. Once they have the analysis, ABC may either adapt the existing product line or make no changes. Final payoffs will depend on market demand – either high or low. If the market analysis is positive and ABC goes with an adapted product line, high demand is expected with a probability of 0.70 and a payoff of $4M. Low demand (probability of 0.30) would resu in a payoff of $2M. However, If no changes are made, high demand is expected with a probability of 0.30 and a payoff of $4.4M. Low demand would resu in a payoff of $3.5M. If the market analysis is negative and ABC goes with an adapted product line, high demand is expected with a probability of 0.40 and a payoff of $4M, low demand would give a payoff of $3.5M. If no changes are made, high demand is expected to have a probability of 0.80 with a payoff of $4.4M and low demand would have a payoff of $2.8.

Draw a decision tree to illustrate this problem Solve the decision tree and make a recommendation to ABC

Marketing

## I need help with this homework programs all of them

;

Question

# i need help with this homework programs all of them.

Problem 1

a)

Mean = 6.49 hours

Standard deviation = 1.05/sqrt(150) = 0.0857 hours

b)

Probability of coming up with a sample that they studies 6 hours or less = P ( z amp

(6 – 6.49)/0.0857 )

= P(…

Statistics and Probability

## The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000

Question

# The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000

kilograms per square centimeter and a standard deviation of 100

kilograms per square centimeter. What is the probability that a sample’s strength is between 5800 and 5900 Kg/cm2?

Statistics and Probability

## 1 What are nonspherical disturbances? 2 What is panel data? How does it differ from crosssectional

Question

# 1. What are non-spherical disturbances?

2. What is panel data? How does it differ from cross-sectional

data?

3. What is time-series data? How does it differ from cross-sectional data?

4. Describe the different types of probability models. Under what conditions are they used?

5. Why must we weight the residuals when analyzing proportions data (with the logit model)?

1 1. What are non-spherical disturbances?

In a standard OLS structure, it is presumed that the imminent variances of errors are always

stable and invariant. In such cases, assuming…

Economics

## Ina sample of 800

U.S. adus, 186 dine out at a restaurant more than once per week. Two U.S. adus are selected

Question

# Ina sample of 800 U.S. adus, 186 dine out at a restaurant more than once per week. Two U.S. adus are selected

at random from population of all U.S. adus without replacement. Assuming the sample is representative of all U.S. adus, complete parts (a) through (d). a. find the probability that both dine out more than once a week b. find the probability that both dine out more than once per week c. find the probability that at least one of the two dines out more than once per week d. which of the events can be considered unusual

Statistics and Probability

## If there is a 1/2 probability of having a green seed and a 1/4 probability of having a round seed then what is

Question

# If there is a 1/2 probability of having a green seed and a 1/4 probability of having a round seed, then what is

the probability that the progeny will have both green and round seeds?

Science

## S A T Company is ready to launch a new product domestically

Historically, the companies products have been

Question

# S.A.T. Company is ready to launch a new product domestically. Historically, the companies products have been

successful domestically 93% of the time. This new product has been sold overseas for the past 6 months as this has been the traditional market strategy (test a product overseas before bringing it to the domestic market). Historically, products which are successful domestically were successful in the international market 86% of the time. Conversely, products which fail domestically had already failed internationally 92% of the time.

Determine the probability that this new product will be successful domestically if the product has been successful overseas. Indicate your answer to four decimal places (i.e. 0.0001).

Statistics and Probability

## This business analysis 2372 homework problem has me confused on where to start Please help and show me step by

Question

2,791

First convert the table into a probability distribution by dividing each number in the Claims column by the total number of claims. **Take probability calculations to 3 decimal places.**

Now, let X be the expected payout. Find E(X), the expected value of X, to two decimal places.

Business

## Question 4(a) Managers are not always working all the benefits of shareholders Explain what agency

Question

# Question 4

(a) Managers are not always working all the benefits of shareholders.

Explain what agency

problem is in real world. (6 marks)

(b) Stock exchanges are the backbone of the capital market.

Why would a finance manager of a large public listed company issue?

commercial paper in money market to finance some projects?

(3 marks)

(c) Recently, a financial analyst of New York Stock Exchange came up with the

hypothetical analysis as follows:

Return from Exchange: 9%

Probability: 0.1 (Most likely)

Return from Exchange: 10%

Probability: 0.2 (likely)

Return from Exchange: 11%

Probability: 0.4 (Neutral)

Return from Exchange: 12%

Probability: 0.2 (unlikely)

Return from Exchange: 13%

Probability: 0.1 (most unlikely)

Required:

(i) What is the expected return that could be gained from New York Stock

Exchange? (3 marks)

(ii) What is the variance for the return? (4 marks)

(iii) What is the standard deviation of the return? (4 marks

Finance

## Due to budget cuts a manager was told to cut a single person out of his work crew of 4 workersDave Joe Mike

Question

# Due to budget cuts a manager was told to cut a single person out of his work crew of 4 workers-Dave, Joe, Mike,

and Roger. He decided to make the cut in as fair of way as possible since all are equally qualified. He put each of their names on a card, mixed the cards, and drew a random name. The manager’s best friend is Dave and Dave stated that at least his odds of losing his job are only one out of four-it could be worse, Dave stated. Then Dave asked, At least two of the others-Joe, Mike, and Roger will retain their job; could you tell me randomly the names of the two that will keep their jobs? The manager decided to tell Dave which of the others would keep their jobs, the manager stated, Mike and Roger will keep their jobs…..Dave’s concern set in, he said it seems as if my chances of being terminated just went from ¼ to ½……..

Is John right in thinking that the probability changed from ¼ to ½? Explain/prove your answer with a decision tree only…..

Due to budget cuts a manager was told to cut a single person out of his work crew of 4

workers-Dave, Joe, Mike, and Roger. He decided to make the cut in as fair of way as possible

since all are…

Statistics and Probability

## What is the probability a soccer game will have a total score of 8 points when the average per game out of 5 is 4

Question

# What is the probability a soccer game will have a total score of 8 points when the average per game out of 5 is 4

points?

CHE101 – Laboratory Report

Name:

Date:

Title:

Titration of Weak Acids and Bases

Purpose:

The importance of this experiment is to enable the student properly understand titration, and

more…

Statistics and Probability

## A package contains 12 resistors 3 of which are defective If 4 are selected find the probability of getting a) 0

Question

# A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting a) 0

defective resistor

(b) 1 defective resistor

(c) 3 defective resistors

Statistics and Probability

## You have a deck of 52 cards divided into 4 suits (spades hearts diamonds &

clubs) each suit consists of 13

Question

# You have a deck of 52 cards, divided into 4 suits (spades, hearts, diamonds clubs) each suit consists of 13

cards of different ranks, the spades clubs are black colored while hearts diamonds are red colored.

You are asked to draw 4 cards without replacement, find the probability of the below

Statistics and Probability

## 64% Of men consider themselves professional baseball fans You randomly select 10 men and ask each if he considers

Question

# 64% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers

himself a professional baseball fan. Find the probability that the number who considers themselves baseball fans is (a) exactly eight (b)at least eight and (c) less than eight. If possible use technology to find the probabilities.

n r

10

10

10

10

10

10

10

10

10

10

10 n-r

0

1

2

3

4

5

6

7

8

9

10 nCr

10

9

8

7

6

5

4

3

2

1

0 1

10

45

120

210

252

210

120

45

10

1 P

0.64

0.64

0.64

0.64

0.64

0.64

0.64

0.64

0.64

0.64

0.64 Q

Probability…

Statistics and Probability

## An individual with cash to invest has two investment choices

Buy a stock fund that every year

Question

# An individual with cash to invest has two investment choices:

Buy a stock fund that every year

either earns 40% or -20% with a 50/50 probability.

Buy a bond fund that every year returns either 5% or 0% also with a 50/50 probability.

Assume that the returns on the two funds are independent, and that returns from year to year are also independent. Also assume an initial portfolio value of $1. (The answers, however, will be unaffected if you use a different initial portfolio value.)

In addition, suppose the value function is linear and is specified as:

v(z) = z for z 0

v(z) = 3z for z 0

a. Which fund does the investor prefer if he looks at his portfolio i) once a year; or ii) once every two years?

b. How does your answer to part a. help us understand the equity premium puzzle?

A

B

C

D

E

F

G

1

a

Q NJ

Option-1

Option-2

quot;Stockquot;

‘Bondquot;

Return per

Net Return

Net Return

year

Probability

Return per year

Probability

40%

0.5

20%%

5%

0.5

2.50%

20%

0.5

10%

0.5

0.00%…

Finance

## Question 3 A simple computer consists of a processor a bus and a memory The computer will work only if all

Question

# Question 3: A simple computer consists of a processor, a bus and a memory. The computer will work only if all

three are functioning correctly. The probability that the processor is functioning is 0.99, that the bus is functioning 0.95, and that the memory is functioning is 0.99. Find the probability that the computer will work. Compare the reliability of the three components and the system and provide your insights.

Answer

The probability that the computer will work = PP* PB* PM

Where

PP is the probability of processor = 0.99

PB is the probability of bus = 0.95

PM is the probability of memory = 0.99

So,…

Mechanical Engineering

## A recent survey in the town of Mountainview showed that 86% of the population has some form of health insurance

Question

# A recent survey in the town of Mountainview showed that 86% of the population has some form of heah insurance.

Furthermore, the survey showed that 21% of the people who have heah insurance also has some form of life insurance. If an adu resident of Mountainview is randomly selected; find the probability that the individual has both heah and life insurance.

Statistics and Probability

## Which of the following is the best definition of qualitative research?Research conducted in a

Question

# Which of the following is the best definition of qualitative research?

Research conducted in a

natural setting that seeks to understand a complex human behavior by developing a complete narrative description of that behavior

Procedures used to analyze data after an experiment is completed in order to determine whether the independent variable has a significant effect

Research that centers on the probability that a statistical test will be significant

An experimental procedure in which research participants are tested or measured more than one

Statistics and Probability