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

1. ## 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.

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Poisson distribution - help with question!