i. Determine the probability that the entire system works? ii. If you are given the condition that the system works, then find the probability that the component A is not working?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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An electrical circuit system consists of five components is illustrated in the following
figure. The reliability (probability of working) of each component is also given in the
figure. Assume that the components fail independently.
i.
Determine the probability that the entire system works?
ii.
If you are given the condition that the system works, then find the
probability that the component A is not working?
0.7
0.7
A
B
0.8
0.8
0.8
C
Transcribed Image Text:An electrical circuit system consists of five components is illustrated in the following figure. The reliability (probability of working) of each component is also given in the figure. Assume that the components fail independently. i. Determine the probability that the entire system works? ii. If you are given the condition that the system works, then find the probability that the component A is not working? 0.7 0.7 A B 0.8 0.8 0.8 C
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