What is the mean time to system failure? (d) – What is the probability that it is component A that causes system failure?

A system has two components: A and B. The operating times until failure of the two components are…

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. (a) – Read section 1.5.2 in the textbook. (b) – What is the mean time to failure for component A and for component B? (c) – What is the mean time to system failure? (d) – What is the probability that it is component A that causes system failure? (e) – Suppose that it is component A that fails first. What is the mean remaining operating life for component B?

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