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?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 7CC: a What is meant by the conditional probability of E given F? How is this probability calculated? b...
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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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