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Math Help - Poisson distribution with expected value Question

  1. #1
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    Poisson distribution with expected value Question

    I need help with this one question:

    Let N have a Poisson distribution. Find the expected value of 1/(1+N). Your answer should be a simple formula involving the parameter of the Poisson distribution.
    Last edited by mr fantastic; April 27th 2011 at 04:12 AM. Reason: Restored deleted question.
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  2. #2
    MHF Contributor
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    my attempt:

    where:
    a=lambda
    k=n




    The significant steps are:
    *re-organising the limits of the sum (second line from the end)
    *recognising the power series representation of e^a
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