Statistics for Business and Economics
8th Edition
ISBN: 9780132745758
Author: Thorne, Newbold Carlson/
Publisher: Pearson College Div
expand_more
expand_more
format_list_bulleted
Question
Chapter 4.7, Problem 75E
a)
To determine
Compute the marginal probability distribution for X and Y.
b)
To determine
Identify the correlation and covariance.
c)
To determine
Identify the mean and variance.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
You work at a mechanic shop. On average, 10 cars come into your shop each day. Assuming a poisson distribution, what is the probability 4 cars come into the shop? Round to 4 decimal points.
Using the properties of variance, what is the variance of Y=4X−5 where Var(X)=1?
Let X1, X2, X3, X4 have the joint probability density functionf(x1, x2, x3, x4) = (24e−(x1+x2+x3+x4), 0 < x1, x2, x3, x4 < ∞0, elsewhereLet Y1 = X1, Y2 = X2 − X1, Y3 = X3 − X2, Y4 = X4 − X3.(i) Using the change of variable technique, find the joint probability density functionof Y1, Y2, Y3, Y4(ii) Find the conditional distribution of Y4 given Y1, Y2, Y3
Chapter 4 Solutions
Statistics for Business and Economics
Ch. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10E
Ch. 4.2 - Show the probability distribution function of the...Ch. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - A store owner stocks an out-of-town newspaper that...Ch. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - A company receives large shipments of parts from...Ch. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - Prob. 57ECh. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Prob. 62ECh. 4.6 - Compute the probability of 7 successes in a random...Ch. 4.6 - Compute the probability of 9 successes in a random...Ch. 4.6 - Compute the probability of 3 successes in a random...Ch. 4.6 - Compute the probability of 8 successes in a random...Ch. 4.6 - Prob. 67ECh. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - Prob. 70ECh. 4.7 - Prob. 71ECh. 4.7 - Prob. 72ECh. 4.7 - Prob. 73ECh. 4.7 - Prob. 74ECh. 4.7 - Prob. 75ECh. 4.7 - Prob. 76ECh. 4.7 - Prob. 77ECh. 4.7 - Prob. 78ECh. 4.7 - Prob. 79ECh. 4.7 - Prob. 80ECh. 4.7 - Prob. 81ECh. 4.7 - Prob. 82ECh. 4.7 - Prob. 83ECh. 4.7 - Prob. 84ECh. 4 - Prob. 85ECh. 4 - Prob. 86ECh. 4 - Prob. 87ECh. 4 - Prob. 88ECh. 4 - Prob. 89ECh. 4 - Prob. 90ECh. 4 - Prob. 91ECh. 4 - Prob. 92ECh. 4 - Prob. 93ECh. 4 - Prob. 94ECh. 4 - Prob. 95ECh. 4 - Prob. 96ECh. 4 - Prob. 97ECh. 4 - Prob. 98ECh. 4 - Prob. 99ECh. 4 - Prob. 100ECh. 4 - Consider a country that imports steel and exports...Ch. 4 - Prob. 102ECh. 4 - Prob. 103ECh. 4 - Prob. 104ECh. 4 - Prob. 105ECh. 4 - Prob. 106E
Knowledge Booster
Similar questions
- he local police department must write, on average, 5 tickets a day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.4 tickets per day. Find the probability that exactly 6 tickets are written on a randomly selected day from this populationarrow_forwardSuppose that Paul Atreides scored 41.5 on Exam 2. If everyone’s exam scores follow a normal distribution with an average score of 43.3 and a variance of 16, what is the probability that someone else’s score is higher than Paul? Graph the situation, shade in the area to be determined, and find the probabilityarrow_forwardIf the mean of the following probability distribution is 3.44, what is the variance? Select one: a. 1.25 b. 9.64 c. 13.08 d. 16.52arrow_forward
- Find the probability that there are three H when a fair coin is flipped four times. ___________% (Round the answer to 2 decimal points.)arrow_forwardA call center in Perth, Australia receives an average of 1.3 calls per minute. By looking at the date, a Poisson discrete distribution is assumed for this variable. Calculate each of the following.a. The probability of receiving no calls in the first minute of its office hours.b. The probability of receiving 1 call in the first minute.c. The probability of receiving 3 calls in the first minute.arrow_forwardFind the probabilities for each, using the standard normal distributionarrow_forward
- Using the standard normal distribution table, compute the following probabilities P(-1.5 ≤ Z ≤ 1.8) is:arrow_forwardThe price for two tickets (including online service charges), a large popcorn, and two medium soft drinks at a sample of six theatre chains is as follows: $36.15 $31.00 $35.05 $40.25 $33.75 $43.00 (a) Compute the mean and median. (b) Compute the variance, standard deviation, and range. (c) Are the data skewed? If so, how? (d) Based on the results of (a) through (c), what conclusions can you reach concerning the cost of going to the movies?arrow_forwardI have a dataset with 20 numbers in it. It has a variance of 16, a mean of 10, and a median of 12. What is the measure of skewness?arrow_forward
- A production manager knows that 5% of components produced by a particular manufacturing process have some defect. Six of these components, whose characteristics can be assumed to be independent of each other, are examined.a. What is the probability that none of these components has a defect?b. What is the probability that one of these components has a defect?c. What is the probability that at least two of these components have a defect?arrow_forwardA NUMMI assembly line, which has been operating since 1984, builds 900 cars and trucks in a week. Generally, 10% of those cars are defective coming off the assembly line. What type of distribution does the event of having defective cars follow? What are the mean and standard deviation of this random event? (6 points) Can we apply the normal distribution to study this event? Check the conditions and answer the question. (6 points) Find the probability that the assembly line produces at least 825 cars, that are not defective and functional, in a week. Graph the situation, shade in the area to be determined, and find the probability. (6 points)arrow_forwardA pizza delivery service delivers to a campus dormitory. Delivery times follow a normal distribution with a mean of 20 minutes and a standard deviation of 4 minutes.a. What is the probability that a delivery will take between 15 and 25 minutes?b. The service does not charge for the pizza if delivery takes more than 30 minutes. What is the probability of getting a free pizza from a single order?c. During final exams, a student plans to order pizza five consecutive evenings. Assume that these delivery times are independent of each other. What is the probability that the student will get at least one free pizza?d. Find the shortest range of times that includes 40% of all deliveries from this service.e. For a single delivery, state in which of the following ranges (expressed in minutes) the delivery time is most likely to lie.18-20, 19-21, 20-22, 21-23f. For a single delivery, state in which of the following ranges (expressed in minutes) the delivery time is least likely to lie.18-20,…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSON
Engineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage Learning
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education