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The joint density of X and Y is given as f(x, y) = 4xy, 0 <...

The joint density of X and Y is given as f(x, y) = 4xy, 0 < x, 1 and 0 < y < 1.

(a). Find the marginal distribution of Y, fY (y).

(b). Find E[X|Y = 1/2].

(c). Find P(X < .3|Y < .2).

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