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Math Help - Probability generating function.

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    Probability generating function.

    please please help me out for these question below. They are very important to me. As I am not good on Statistic and I don't have the model answers for them, I really want someone who can show me the answers about them. Therefore, I can check if i was doing the questions in the right way.

    Thank you very much!!!

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    Question 3---Let X and Y be random variables all of whose values are non-negative integers.
    (a) Define the probability generating function of X.
    (b) State a theorem linking the probability generating functions of X, Y and X+Y in the case that X and Y are independent of each other.
    (c) Suppose that X~Poisson(入). Find the probability generating function of X.
    (d) Suppose that X and Y are independent of each other, X ~Poisson(入) and
    Y~Poisson(入). Find the distribution of X + Y .
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    Last edited by mr fantastic; April 30th 2010 at 04:07 PM. Reason: Re-titled.
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