Please help!! 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 properlythroughout the warranty period, A, be the event that the speakers function properly throughout the warranty period, and A, be the event that the CD player functions properlythroughout the warranty period. Suppose that these events are (mutually) independent with P(A,) = 0.93, P(A,) = 0.92, and P(A,) = 0.90. (Round your answers to fourdecimal places.)%3D(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 during the warranty period?

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Description: Please help!! 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 properlythroughout the warranty period, A, be the event that the speakers fu

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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 A, be the event that the receiver functions properly
throughout the warranty period, A, be the event that the speakers function properly 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,) = 0.93, P(A,) = 0.92, and P(A,) = 0.90. (Round your answers to four
decimal places.)
%3D
(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 during the warranty period?

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Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.

Given:

P (A₁) = 0.93

P (A₂) = 0.92

P (A₃) = 0.90

A₁denotes the receiver functions properly

A₂ denotes the speaker functions properly

A₃ denotes the CD player functions properly

All three are independent.

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