Essentials Of Statistics For Business & Economics

9th Edition

ISBN: 9780357045435

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

Publisher: South-Western College Pub

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Textbook Question

Chapter 4.5, Problem 40E

The prior probabilities for events A₁, A₂, and A₃ are P(A₁) = .20, P(A₂) = .50, and P(A₃) = .30. The conditional probabilities of event B given A₁, A₂, and A₃ are P(B ∣ A₁) = .50, P(B ∣ A₂) = .40, and P(B ∣ A₃) = .30.

a. Compute P(B ∩ A₁), P(B ∩ A₂), and P(B ∩ A₃).
b. Apply Bayes’ theorem, equation (4.19), to compute the posterior probability P(A₂ ∣ B).
c. Use the tabular approach to applying Bayes’ theorem to compute P(A₁ ∣ B), P(A₂ ∣ B), and P(A₃ ∣ B).

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Chapter 4.5, Problem 39E

Chapter 4.5, Problem 41E

Chapter 4 Solutions

Essentials Of Statistics For Business & Economics

Ch. 4.1 - 1. An experiment has three steps with three...Ch. 4.1 - 2. How many ways can three items be selected from...Ch. 4.1 - How many permutations of three items can be...Ch. 4.1 - 4. Consider the experiment of tossing a coin three...Ch. 4.1 - 5. Suppose an experiment has five equally likely...Ch. 4.1 - An experiment with three outcomes has been...Ch. 4.1 - A decision maker subjectively assigned the...Ch. 4.1 - In the city of Milford, applications for zoning...Ch. 4.1 - Simple random sampling uses a sample of size n...Ch. 4.1 - Code Churn. Code Churn is a common metric used to...

Ch. 4.1 - Tri-State Smokers. A Gallup Poll of U.S. adults...Ch. 4.1 - A company that manufactures toothpaste is studying...Ch. 4.1 - Powerball Lottery. The Powerball lottery is played...Ch. 4.2 - An experiment has four equally likely outcomes:...Ch. 4.2 - 15. Consider the experiment of selecting a playing...Ch. 4.2 - Consider the experiment of rolling a pair of dice....Ch. 4.2 - Refer to the KPL sample points and sample point...Ch. 4.2 - 18. Fortune magazine publishes an annual list of...Ch. 4.2 - 19. Do you think global warming will have an...Ch. 4.2 - Junior Achievement USA and the Allstate Foundation...Ch. 4.2 - Fatal Collisions with a Fixed Object. The National...Ch. 4.3 - Suppose that we have a sample space with five...Ch. 4.3 - 23. Suppose that we have a sample space S = {E1,...Ch. 4.3 - Clarkson University surveyed alumni to learn more...Ch. 4.3 - Americans Using Facebook and LinkedIn. A 2018 Pew...Ch. 4.3 - 26. Information about mutual funds provided by...Ch. 4.3 - Social Media Use. A marketing firm would like to...Ch. 4.3 - A survey of magazine subscribers showed that 45.8%...Ch. 4.3 - High school seniors with strong academic records...Ch. 4.4 - 30. Suppose that we have two events, A and B, with...Ch. 4.4 - 31. Assume that we have two events, A and B, that...Ch. 4.4 - Living with Family. Consider the following example...Ch. 4.4 - 33. Students taking the Graduate Management...Ch. 4.4 - The bureau of Transportation Statistics reports...Ch. 4.4 - 35. To better understand how husbands and wives...Ch. 4.4 - Jamal Crawford of the National Basketball...Ch. 4.4 - Giving Up Electronics. A 2018 Pew Research Center...Ch. 4.4 - The Institute for Higher Education Policy, a...Ch. 4.5 - The prior probabilities for events A1 and A2 are...Ch. 4.5 - 40. The prior probabilities for events A1, A2, and...Ch. 4.5 - 41. A consulting firm submitted a bid for a large...Ch. 4.5 - A local bank reviewed its credit card policy with...Ch. 4.5 - Prostate Cancer Screening. According to a 2018...Ch. 4.5 - ParFore created a website to market golf equipment...Ch. 4.5 - Americans Without Health Insurance. The National...Ch. 4 - A survey of adults aged 18 and older conducted by...Ch. 4 - 47. A financial manager made two new...Ch. 4 - 48. Forty-three percent of Americans use social...Ch. 4 - A study of 31,000 hospital admissions in New York...Ch. 4 - 50. A telephone survey to determine viewer...Ch. 4 - The U.S. Census Bureau serves as the leading...Ch. 4 - An MBA new-matriculants survey provided the...Ch. 4 - 53. Refer again to the data from the MBA...Ch. 4 - 54. In February 2012, the Pew Internet & American...Ch. 4 - 55. A large consumer goods company ran a...Ch. 4 - 56. Cooper Realty is a small real estate company...Ch. 4 - A company studied the number of lost-time...Ch. 4 - According to the Open Doors Report, 9.5% of all...Ch. 4 - An oil company purchased an option on land in...Ch. 4 - The five most common words appearing in spam...Ch. 4 - Robs Market (RM) is a regional food store chain in...

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