ISYE 3770_Quiz1_sol

May 14th, 2015
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Consider the following hybrid reliability system. The number in each box indicates the component’s reliability (probability of working). Assume components fail independently. What is the probability that the entire system works? (only write down the expression)

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ISYE 3770_Quiz1_solISYE 3770 BWednesday Jan 22Quiz 1Your name (please print): Solution Key1.Consider the following hybrid reliability system. The number in each box indicates the components reliability (probability of working). Assume components fail independently. What is the probability that the entire system works? (only write down the expression)P(works) = P(A)*P(B) + P(C)*P(D)*P(E) P(A)*P(B)*P(C)*P(D)*P(E) = 0.7*0.7 + 0.8*0.8*0.8 0.7*0.7*0.8*0.8*0.82.Finish the following Bayes theorem (only the basic version, not with total probability rule): For two events A

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