## Solution for problem 53E Chapter 2

# A certain shop repairs both audio and video components.

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

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) ?

**Accepted 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.

###### Chapter 2, Problem 53E is Solved

**Step 2 of 1**

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A certain shop repairs both audio and video components.