Question: 1.5.4 A system has two components: A and B. The operating times until failure of the two components are independent and exponentially distributed random variables

1.5.4 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 3 for B. The system fails at the first component failure.

(a) What is the mean time to failure for component A? For component B?

(b) What is the mean time to system failure?

(c) What is the probability that it is component A that causes system failure?

(d) Suppose that it is component A that fails first. What is the mean remaining operating life of component B?

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