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Minimal Cut Sets and Probability of System Life

Consider a structure in which the minimal path sets are
{1, 2, 3} and {3, 4, 5}

a. What are the minimal cut sets?
b. If the component lifetimes are independent uniform (0,1) random variables, determine the probability that the system life will be less than ½ .

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Reliability Theory, Minimal Cut Sets and Probability of System Life are investigated. The solution is detailed and well presented.

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