[6 marks] Let X be the current (in amperes) and Y be the resistance (in ohms). Then W. the generated power (in watts}. is given by W = X2Y. Suppose that X and Yare independent random variables with densities fxv) = (3/5)a=(4-:c)1 0 S a: S 1 and fy) = 5:14, U E y S 1. a) [3 marks] Compute the expected value of W MW) = b) [3 marks] Determine the density function of X2 2 (Below use Maple syntax to enter your answer; 9.9. for %\\/Ee '3' /2 write {1/8) *sqrtpr} *exp(-x"2/2).) fxz (E) =