Q11. An electrical system consists of four components as illustrated in the following figure. The system works if both components A and B work or both components C and D work. The reliability (probability of working) of each component is also illustrated in the figure. Find the probability that component C does not work, given that the entire system works. Assume that the four components work .independently A B P=0.8 P=0.8 D P=0.75 P=0.7

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Q11. An electrical system consists of four
components as illustrated in the following
figure. The system works if both
components A and B work or both
components C and D work. The reliability
(probability of working) of each component
is also illustrated in the figure. Find the
probability that component C does not
work, given that the entire system works.
Assume that the four components work
.independently
A
P=0.8
P=0.8
D
P=0.75
P=0.7
Transcribed Image Text:Q11. An electrical system consists of four components as illustrated in the following figure. The system works if both components A and B work or both components C and D work. The reliability (probability of working) of each component is also illustrated in the figure. Find the probability that component C does not work, given that the entire system works. Assume that the four components work .independently A P=0.8 P=0.8 D P=0.75 P=0.7
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