Problem 01: A circuit system is given in the figure below. Assume the components fail independently. Probabilities shown are of each component working fine individually. 0.8 B 0.7 A 0.9 C 0.6 D 0.8 E (a) What is the probability that the entire system works? (b) Given that the system works, what is the probability that the component B is not working?

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Q: (a) (c) = 0.9854 (b) P(0 ≤Z≤ c) = 0.2995 (c) P(c≤ Z) = 0.1271

A:

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