Question 1 In order to receive all your presents, first assume that X and Y are two random variables.Suppose Y is exponential with mean 816. Suppose that, when X is conditional on Y = y, it is exponentialwith mean y. (In other words, X itself is not exponential, but when X is conditional on Y = y it is exponential.)What is the correlation of X and Y? (Must use random variables and give at least four decimal points)

Fig: 1