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1 - Consider the Poisson distribution P (n) = n n! e (n = 0, 1, 2, ). (a) Calculate the mean n and the

1 - Consider the Poisson distribution P (n) = n n! e (n = 0, 1, 2, ). (a) Calculate the mean n and the variance n2 (n n)2 . (b) The moment generating function M (k) for a distribution P (n) can be defined as M (k) = ekn = X n=0 eknP (n)

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