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Math Help - [SOLVED] Probability/queue theory (a bit elementary)

  1. #1
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    [SOLVED] Probability/queue theory (a bit elementary)

    Hey, I was wondering if this question looks right to you guys, because I cannot find a value for a other than 0 that will meet the requirements for a pdf. Please show me what I am overlooking. Thanks.

    Measurements on a router indicate that the pdf of packet delay (in ms) is approxed by f(t)=  ae^{-a(t-2)} , and the avg packet delay is 6ms.

    So my qn is, do you guys see a valid value for a that can fulfil the requirements for the pdf? Thanks.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bidii View Post
    Hey, I was wondering if this question looks right to you guys, because I cannot find a value for a other than 0 that will meet the requirements for a pdf. Please show me what I am overlooking. Thanks.

    Measurements on a router indicate that the pdf of packet delay (in ms) is approxed by f(t)=  ae^{-a(t-2)} , and the avg packet delay is 6ms.

    So my qn is, do you guys see a valid value for a that can fulfil the requirements for the pdf? Thanks.
    First you have not said that t>2 ms. Then any positive value of a gives a pdf. So we have the mean is:

    \int_2^{\infty} t\ a\ e^{-a(t-2)}\; dt =2+\frac{1}{a}=6

    CB
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