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so suppose we have B(n,p), where n is discretely uniformly distributed on the integers of the interval (1,5)

Is the expected value 3p, and is the variance 3p-p^2

?

I arrived at those answers by treating n as another variable, so np/5 summed over all n is 3p, and similar logic for E(x^2) yields the variance.

Also when I use the equation E(V(Y/n)) + V(E(Y/n)) I get the same variance.

However this will give a non-zero variance for p =1, which makes NO sense.

Please advise.

Thank you very much

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# Homework Help: Probability theory. quick question regarding conditionalizing the binomial dist

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