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Math Help - Poisson Distribution

  1. #1
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    Poisson Distribution

    Let X have a Poisson distribution with parameter m. Show that
    P(X is even )=(1+e^{2m})/2

    Please help me in solving the problem
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  2. #2
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    Re: Poisson Distribution

    Quote Originally Posted by Suvadip View Post
    Let X have a Poisson distribution with parameter m. Show that
    P(X is even )=(1+e^{2m})/2

    Please help me in solving the problem
    for the avoidance of doubt, i assume you are using the standard notation for a poisson distribution, so  m~ \epsilon (0,\infty].

    if so, the proposition is false. Your solution gives probabability >1 for sufficiently large values of m.
    Last edited by SpringFan25; March 3rd 2012 at 07:11 PM.
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  3. #3
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    Re: Poisson Distribution

    Ya the question was wrong, though the same question was set in an university exam. Anyway, I think it will be e^{-2m} in place of e^{2m}
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