A system has two components: A and B. The operating times until failure ofthe two components are independent and exponentially distributed random variables with parameter 2 forcomponent A, and...

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?