A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A1 be the event that the receiver functions properly throughout the warranty period, A2 be the event that the speakers function properly throughout the warranty period, and A3 be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A1) = 0.95, P(A2) = 0.98, and P(A3) = 0.80. 

(a) What is the probability that all three components function properly throughout the warranty period?

(b) What is the probability that at least one component needs service during the warranty period?

(c) What is the probability that all three components need service during the warranty period? 

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