Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
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).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
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 - 3. How many permutations of three items can be...Ch. 4.1 - Prob. 4ECh. 4.1 - 5. Suppose an experiment has five equally likely...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - 8. In the city of Milford, applications for zoning...Ch. 4.1 - Prob. 9ECh. 4.1 - 10. The following table shows the percentage of...
Ch. 4.1 - Tri-State Smokers. A Gallup Poll of U.S. adults...Ch. 4.1 - 12. The Powerball lottery is played twice each...Ch. 4.1 - 13. A company that manufactures toothpaste is...Ch. 4.2 - 14. An experiment has four equally likely...Ch. 4.2 - 15. Consider the experiment of selecting a playing...Ch. 4.2 - 16. Consider the experiment of rolling a pair of...Ch. 4.2 - 17. Refer to the KP&L sample points and sample...Ch. 4.2 - Prob. 18ECh. 4.2 - 19. Do you think global warming will have an...Ch. 4.2 - 20. Junior Achievement USA and the Allstate...Ch. 4.2 - 21. Data on U.S. work-related fatalities by cause...Ch. 4.3 - 22. Suppose that we have a sample space with five...Ch. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - 25. The Eco Pulse survey from the marketing...Ch. 4.3 - Prob. 26ECh. 4.3 - Social Media Use. A marketing firm would like to...Ch. 4.3 - 28. A survey of magazine subscribers showed that...Ch. 4.3 - 29. High school seniors with strong academic...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 -
Students taking the Graduate Management...Ch. 4.4 - Prob. 34ECh. 4.4 - 35. To better understand how husbands and wives...Ch. 4.4 - 36. Jamal Crawford of the National Basketball...Ch. 4.4 - 37. A joint survey by Parade magazine and Yahoo!...Ch. 4.4 - 38. The Institute for Higher Education Policy, a...Ch. 4.5 - 39. The prior probabilities for events A1 and A2...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 - Prob. 42ECh. 4.5 - 43. In August 2012, tropical storm Isaac formed in...Ch. 4.5 - Prob. 44ECh. 4.5 - 45. The percentage of adult users of the Internet...Ch. 4 - 46. A survey of adults aged 18 and older conducted...Ch. 4 - Prob. 47SECh. 4 -
Below are the results of a survey of 1364...Ch. 4 - 49. A study of 31,000 hospital admissions in New...Ch. 4 - 50. A telephone survey to determine viewer...Ch. 4 - 51. The U.S. Census Bureau serves as the leading...Ch. 4 - 52. An MBA new-matriculants survey provided the...Ch. 4 - Prob. 53SECh. 4 - 54. In February 2012, the Pew Internet & American...Ch. 4 - 55. A large consumer goods company ran a...Ch. 4 - Prob. 56SECh. 4 - 57. A company studied the number of lost-time...Ch. 4 - Prob. 58SECh. 4 - 59. An oil company purchased an option on land in...Ch. 4 - 60. The five most common words appearing in spam...Ch. 4 - Rob’s Market (RM) is a regional food store chain...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The following table shows frequencies for red-green color blindness, where M represents person is male and C represents person is colour-blind. Use this table to find the following probabilities. See Exercise 86, Section 12.2 M M Totals C 0.035 0.004 0.039 C 0.452 0.509 0.961 Totals 0.487 0.513 1.000 a. P(M) b. P(C) c. P(MC) d. P(MC) e. P(M|C) f. P(C|M) g. P(M|C) h. Are the events C and M, described above, dependent? What does this mean?arrow_forwardWorking Women A survey has shown that 52 of the women in a certain community work outside the home. Of these women, 64 are married, while 86 of the women who do not work outside the home are married. Find the probabilities that a woman in that community can be categorized as follows. a. Married b. A single women working outside the homearrow_forwardConsumer Preference In a population of 100,000 consumers, there are 20,000 users of Brand A, 30,000 users of Brand B, and 50,000 who use neither brand. During any month, a Brand A user has a 20 probability of switching to Brand B and a 5 of not using either brand. A Brand B user has a 15 probability of switching to Brand A and a 10 probability of not using either brand. A nonuser has a 10 probability of purchasing Brand A and a 15 probability of purchasing Brand B. How many people will be in each group a in 1 month, b in 2 months, and c in 18 months?arrow_forward
Recommended textbooks for you
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License