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A certain shop repairs both audio and video components.

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 53E 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 53E

A certain shop repairs both audio and video components. Let ?A ?denote the event that the next component brought in for repair is an audio component, and let ?B ?be the event that the next component is a compact disc player (so the event ?B iscontained in ?? . Suppose that P(A) = .6and P(B) = .5. What isP(B|A) ?

Step-by-Step Solution:

Answer: Step 1 of 1 Given, A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and Let B be the event that the next component is a compact disc player (so the event B is contained in A). Therefore, P(AB) = P(B) Suppose that P(A) = 0.6 and P(B) = 0.5. P(A B) From the conditional probability, P(B/A) = P( A ) = P(B) P(A) 0.5 = 0.6 = 0.8333. Therefore, P(B/A) is 0.8333.

Step 2 of 1

Chapter 2, Problem 53E is Solved
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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A certain shop repairs both audio and video components.