Two continuous r.v.'s X and Y have joint PDF given by fx,y (x, y) = e, 0≤x≤ 2y <∞. O Exponential(1/2) Uniform[0, 2y) Gamma(y, 2) Use the facts that fy (y) fx (x) = ffx,y (x, y) dy = e, x > 0, ½ Then the conditional distribution of X|Y=y is ? ON(0,1) r2y = f fx,y (x,y) dx, and x=

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