Question: 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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