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Question

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).α β/α + β

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Q. 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

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