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Suppose Y 1 , Y 2 , . . . , Y 5 are independent exponentially distributed random variables each with mean 2. Find (a)

Suppose Y1, Y2, . . . , Y5 are independent exponentially distributed random variables each with mean 2. Find (a) P(min(Y1, Y2, . . . , Y5) < 0.2) and (b) E[min(Y1, Y2, . . . , Y5)].

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