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Reconsider the credit card scenario of Exercise 47

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 70E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 70E

Reconsider the credit card scenario of Exercise 47 (Section 2.4), and show that ?A and ?B ?are dependent first by using the definition of independence and then by verifying that the multiplication property does not hold. Reference exercise 47 Return to the credit card scenario of Exercise 12 (Section 2.2), where A = {Visa}, B = { MasterCard}, P(A) = .5, P(B) = .4, and P(A ?B) = .25. Calculate and interpret each of the following probabilities (a Venn diagram might help). a. P(B|A) b. P(B ?|A). c. P(A|B) d. P(A ?|B) e. ?Given that the selected individual has at least one card, what is the probability that he or she has a Visa card?

Step-by-Step Solution:

Answer : Step 1 of 1 : Given, P(A) = 0.6 and P(B) = 0.4 P(AB) = 0.3 The claim is that by using the definition of independence and then by verifying that the multiplication property does not hold. A , B are independent if P(A/B) = P(A) P(A/B) = P(AB) P(B) = 0.3...

Step 2 of 3

Chapter 2, Problem 70E is Solved
Step 3 of 3

Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

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Reconsider the credit card scenario of Exercise 47