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Mathematics, 18.03.2021 01:10 cailynrachael

A system has two components: A and B. The operating times until failure of the two components are independent and exponentially distributed random variables with parameter 2 for component A, and parameter 3 for component B. The system fails at the first component failure. Required:
a. What is the mean time to system failure?
b. What is the probability that it is component A that causes system failure?

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