3. (20 points) Let X and Y be two jointly continuous random variables, with joint density function f(X,Y)(33-, y) : 01[0,3]($)1[0,2] (y) for some constant c > 0. (i) (6 points) Determine the value of c (so that f(X;Y) is indeed a density function). (ii) (6 points) Compute the cumulative distribution function FX of X. (iii) (8 points) Compute IP(X Z Y)