Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A, be the event that the receiver functions prooerty throughout the warranty period be the event that the speakers function property throughout the warranty period, and A, be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A,) = 0.96, PLA,) - 0.93, and PLA) - 0.70. (Round your answers to four decimal places.) (a) What is the probability that all three compenents function properly throughout the warranty period? (b) What is the probability that at least one companent needs service during the warranty period? (e) What is the probabiliey that all three components need service during the warranty period? (d) What is the probability that only the receiver needs service during the warranty peried? (e) What is the probability that exactly one of the three components needs service during the warranty perlod?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A, be the event that the receiver functions property throughout the warrantY period be
the event that the speakers function property throughout the warranty period, and A, be the event that the CD player functions properly throughout the warranty period. Suppose that these events are
(mutually) independent with P(A,) = 0.96, PLA,)- 0.93, and PLA) - 0.70. (Round your answers to four decimal places.)
(a) What is the probability that all three components function property throughout the warranty period?
(b) what is the probability that at least one component needs service during the warranty period?
(c) What is the probabiliey that all three components need service during the warranty period?
(d) What is the probability that only the receiver needs service during the warranty peried?
(e) What is the probability that exactly one of the three components needs service during the warranty period?
Transcribed Image Text:Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A, be the event that the receiver functions property throughout the warrantY period be the event that the speakers function property throughout the warranty period, and A, be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A,) = 0.96, PLA,)- 0.93, and PLA) - 0.70. (Round your answers to four decimal places.) (a) What is the probability that all three components function property throughout the warranty period? (b) what is the probability that at least one component needs service during the warranty period? (c) What is the probabiliey that all three components need service during the warranty period? (d) What is the probability that only the receiver needs service during the warranty peried? (e) What is the probability that exactly one of the three components needs service during the warranty period?
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