Question: Suppose X and Y are continuous random variables with joint pdf f(x, y) = 60x 2 y if 0 < x, 0 < y, x

Suppose X and Y are continuous random variables with joint pdf f(x, y) = 60x2y if 0 < x, 0 < y, x + y < 1, and zero otherwise.

(a) Find the correlation coefficient of X and Y.

(b) Find the conditional expectation, E(Y | x).

(c) Find the conditional variance, Var(Y | x).

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