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Math Help - Probability

  1. #1
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    Probability

    Assume the the time required to download a file from the Internet is exponentially distrubuted with mean equal to 4 minutes. What is the probablity that a download will require at least 2 but not more then 4 minutes. (to five decimal places)?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by sweettea331
    Assume the the time required to download a file from the Internet is exponentially distrubuted with mean equal to 4 minutes. What is the probablity that a download will require at least 2 but not more then 4 minutes. (to five decimal places)?
    The pdf of the exponential distribution is:

    p(x)=\left \{ \begin{array}{cc}\frac{1}{\bar x}e^{-x/\bar x}& x \ge 0\\0&x<0 \end{array}\right.

    Here \bar x=4, and the required probability is:

    P(2<x<4)=\int ^4 _2 p(x) dx=\int ^4 _2 \frac{e^{-x/4}}{4} dx

    which you should be able to evaluate.

    RonL
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