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If X is binomially distributed with Binomial(3, 1/3) and Y|X = x ~ Geometric(1/(x+5)), What is...

If X is binomially distributed with Binomial(3, 1/3) and Y|X = x ~ Geometric(1/(x+5)),

What is P(Y=1)? Var(Y)? E[1/e^Y|X=2]?

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