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The time to failure X of a microwave oven has an exponential distribution with pdf 1 f(a:) = 563/2, 32 > 0. Let two such

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The time to failure X of a microwave oven has an exponential distribution with pdf 1 f(a:) = 563/2, 32 > 0. Let two such microwave ovens are chosen and their failure time X1 and X2 are observed. Let X be the mean of their failure time. 11. Find the probability distribution of X1 + X2 by the moment generating function (mgf). 12. Find the probability distribution of X by the moment generating function (mgf). 13. Find Pu? > 2)

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