GATE | GATE-IT-2004 | Question 33

Let X and Y be two exponentially distributed and independent random variables with mean α and β, respectively. If Z = min(X,Y), then the mean of Z is given by
(A) 1/α+β
(B) min(α ,β)
(C) α β/α + β
(D) α + β

Answer: (C)


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