×
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 53e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 53e

×

# A certain shop repairs both audio and video components.

ISBN: 9780321629111 32

## Solution for problem 53E Chapter 2

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

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

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

4 5 1 398 Reviews
18
2
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

#### Related chapters

Unlock Textbook Solution