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Let X1, X2,..., Xnbe independent and identically distributed exponential random variables with parameter λ . a)...

Let X1, X2,..., Xnbe independent and identically distributed exponential random variables with parameter λ .

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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milcah answered 1 year ago
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