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Math Help - Poisson Distribution

  1. #1
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    Poisson Distribution

    Suppose that the number of inquiries arriving at a certain interactive system follows a Poisson distribution with arrival rate of 12 inquiries per minute. Find the probability of 10 inquiries arriving

    (a) in a 1-minute interval
    (b) in a 3-minute interval


    I am unsure if the rate is 60/12 or 12/60.
    Last edited by aaronrj; February 17th 2010 at 02:23 PM.
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  2. #2
    MHF Contributor matheagle's Avatar
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    just keep it in minutes

    \lambda=12 in part a and \lambda=36 in part b

    P(X=x)={e^{-\lambda}\lambda^x\over x!}

    (a) P(X=10)={e^{-12}{12}^{10}\over (10)!}

    (b) P(X=10)={e^{-36}{36}^{10}\over (10)!}
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