Question 10: Let X1 and X2 be iid. Exp(1/2) random variables, in other words f(x) = (1/2)e-i/2 for x; > 0 and 0 otherwise. Find the distribution of the ratio Y = X/X2. Hint #1: Use the transformation Y = X/X2 and Y2 = X2 and integrate out Y2. Hint #2: once you find the joint density f(y1, y2) and want to integrate out Y2, make use of the gamma kernel trick: forx; F(a) e =