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Math Help - Transformation of Variables problem (Poisson dist)

  1. #1
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    Transformation of Variables problem (Poisson dist)

    X is dist. Poisson with mean A, where A is moderately large.

    You are given that Y = X^2

    What is the mean of Y in terms of A?

    I know this should be really simple, and I could do it is X was continuous, but how would I approach this, given that X is discrete? I'm sure I'm missing something really obvious here :/

    E(Y) = E( X^2) = ...?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Zenter View Post
    X is dist. Poisson with mean A, where A is moderately large.

    You are given that Y = X^2

    What is the mean of Y in terms of A?

    I know this should be really simple, and I could do it is X was continuous, but how would I approach this, given that X is discrete? I'm sure I'm missing something really obvious here :/

    E(Y) = E( X^2) = ...?
    Var(X)=E(X^2)-\overline{X}^2

    You know Var(X) and \overline{X}

    CB
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  3. #3
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    Ohhh of course. Thanks
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