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Math Help - Poisson Distribution: Expected value of (X+1)^(n-1)

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    Poisson Distribution: Expected value of (X+1)^(n-1)

    Let the random variable X have a Poisson distribution with parameter λ. Show that for every n greater than or equal to 1 one has E(X^n) = λ E((X +1)^(n-1)): Note that, using this formula, we can find E(X);E(X^2);....recursively.
    Last edited by mr fantastic; February 6th 2011 at 07:43 PM. Reason: Re-titled.
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    MHF Contributor harish21's Avatar
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    The same question was asked yesterday. Here's the link to the question. Look at the hint and try to solve.

    Poisson distribution - help with question!
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