# Minimal Cut Sets and Probability of System Life

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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 Â½ .

https://brainmass.com/math/probability/minimal-cut-sets-probability-system-life-56155

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Consider a structure in which the minimal path sets are

{1, 2, 3} and {3, 4, ...

#### Solution Summary

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

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