Question: Suppose X and Y are continuous random variables with joint pdf given by f(x, y) = 24xy if 0 < x, 0 < y, x

Suppose X and Y are continuous random variables with joint pdf given by f(x, y) = 24xy if 0 < x, 0 < y, x + y < 1, and zero otherwise.

(a) Are X and Y independent? Why or why not?

(b) Find P[Y > 2X].

(c) Find the marginal pdf of X.

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