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Problem 12 Let fx, x ( X, Y ) = 2xe(x-yX 0 x2 otherwise be the joint PDF of X, Y. (a) Find E[Y] and

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Problem 12 Let fx, x ( X, Y ) = 2xe(x-yX 0 x2 otherwise be the joint PDF of X, Y. (a) Find E[Y] and frix, the density of Y|X. (b) Use your formula for Fylx to find E[Y|X = x] (hence E[Y|X]). From this and your calculation of E[Y] in (a) verify that E (E[Y X]) = E[Y]

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