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Let X1, X2,..., Xnbe independent and identically distributed exponential random variables with parameter ? . a) Compute P{max(X1, X2,...,...

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Basic Math

Let X1, X2,...,Xnbe independent and identically distributedexponential random variables with parameter ? .

a) Compute P{max(X1,X2,..., Xn) ? x}and find the pdf of Y = max(X1,X2,..., Xn).
b) Compute P{min(X1,X2,..., Xn) ? x}and find the pdf of Z = min(X1,X2,..., Xn).
c) Compute E(Y) and E(Z).

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