Exercise 4. Let X and Y be jointly continuous random variables with joint PDF given by ƒx,y(x, y) = x(1 + 3y²)1(0,2) (2) 1 (0,1) (3). a. Find the conditional PDF of X given Y. b. Find P (< X < | Y = }). 23 2.2. INDEPENDENCE OF RANDOM VARIABLES c. Find the marginal PDF of X.

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