Problem 2. Let A > 0 and let Y be exponential with parameter A > 0. Let X be a uniform random variable on the interval (0,1 + Y. (a) Write down a formula for fxy(z|y). Hint. This is not really a computationthis formula is determined by the above description of X and Y. (b) Use the formula in part (a) and the continuous Bayes' rule to find a formula for fxy(z,vy). (c) Use the law of iterated expectations to compute E[X]. (d) Use the law of total variance to compute Var(X)