1- An Electrical system consists of four components as illustrated below. The system works if components A and B work and either of the components C or D work. The probability of working of each component is also shown. Find the probability that a) the entire system works and b) the component C does not work, given the entire system works. Assume that four components work independently. 0.8 0.9 0.9 A в 0.8 D

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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1- An Electrical system consists of four components as illustrated below. The
system works if components A and B work and either of the components C or D
work. The probability of working of each component is also shown. Find the
probability that a) the entire system works and b) the component C does not work,
given the entire system works. Assume that four components work
independently.
0.8
0.9
0.9
A
в
0.8
D
Transcribed Image Text:1- An Electrical system consists of four components as illustrated below. The system works if components A and B work and either of the components C or D work. The probability of working of each component is also shown. Find the probability that a) the entire system works and b) the component C does not work, given the entire system works. Assume that four components work independently. 0.8 0.9 0.9 A в 0.8 D
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