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Consider n components with independent lifetimes, which are such that component i functions for an exponential...

Consider n components with independent lifetimes, which are such that component i functions for an exponential time with rate λi . Suppose that all components are initially in use and remain so until they fail.
(a) Find the probability that component 1 is the second component to fail.
(b) Find the expected time of the second failure.

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