Question: 10. Suppose components A1, A2, B1, B2 and C operate independently in the system shown below. Assume that all the components in the system

10. Suppose components A1, A2, B1, B2 and C operate independently in

10. Suppose components A1, A2, B1, B2 and C operate independently in the system shown below. Assume that all the components in the system start operating at the same time and a component does not work again once it fails. The probability of functioning for each component is 0.90 except for C. The probability that C works is 0.98. The entire system works if A1 or A2 works, and B1 or B works, and C works. Find the probability that the entire system works. Show your reasoning. Round the answer off to three decimal places. A1 B1 A2 B2

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