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Homework Help: Application for exponential distribution

  1. Dec 6, 2013 #1
    The amount of time to finish a operation has an exponential distribution with mean 2 hours
    Find the probability that the time to finish the operation is greater than 2 hours.

    My thinking is to integrate the exponential probability function. After integrating it, I got -e^{-y/2} + 1 , 0 ≤ y < ∞

    Then I use 1 - P(Y<=2) = 1 - (-e^{-2/2} +1) = e^-1

    Is my approach correct? If so, could you check my answer please?
  2. jcsd
  3. Dec 7, 2013 #2

    Ray Vickson

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    Science Advisor
    Homework Helper

    Yes, it is correct.
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