[alThor]

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were Z is 2(Y^2) for any value of Y

and Y is the Poisson distribution for Lamda = 3.5

what is the expected value of Z??


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The long way or the easy way? The easy way is if you are allowed to use the information that the mean and variance of Y are both lambda. Then E(Y^2) is lambda + lambda^2. Then E(Z) is 2(lambda + lambda^2).

Harder way: figure out the infinite sum of 2f(x)x^2 where f() is the Poisson pdf.

Hopefully I am not so tired that I screwed up.

alThor