Question: Let f(x, y) = x + y , 0 x 1 , 0 y 1 be the joint pdf of X and Y . (a)

Let f(x, y) = x + y , 0 x 1 , 0 y 1 be the joint pdf of X and Y .

(a) Verify that f is indeed a density.

(b) Find the marginal densities fX and fY .

(c) Are the two random variables independent?

(d) Compute the means and variances of X and Y .

(e) Find both conditional densities.

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