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 bethe 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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Answered: Consider purchasing a system of audio…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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) = 0.92, P(A₂) = 0.96, and P(A3) = 0.90. (Round your answers to four decimal places.) (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? (d) What is the probability that only the receiver needs service during the warranty period? (e) What is the probability that exactly one of the three components needs service…
a and b

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