Let X and Y be two exponentially distributed and independent random variables…

GATE · 2004 · IT

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

  1. A.

    1/α+β

  2. B.

    min(α ,β)

  3. C.

    alpha beta/(alpha + beta)

  4. D.

    α + β

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