The number of failures during the fourth

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The failures of a certain machine occur according to a Poisson process with rate λ = 1 per week.

(a) What is the probability that the machine will have at least one failure during each of the first two weeks considered?

(b) Suppose that exactly five failures have occurred during the first four weeks considered. Let M  be the number of failures during the fourth of these four weeks. Calculate E[M | M > 0].

Reference no: EM131130942

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