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2. (15 points)Suppose the returns X and Y on two stocks have the bivariate normal distribution with the mean vector and the covariance matrix given by 3 1 0.5 \"'(4) am'15::(05 1) (a) (7 points) If one portfolio consists of 3 units of stock X and 2 units of stock Y, and another portfolio consists of 2 units of stock X and 3 units of stock Y, what is the probability that the rst portfolio has a higher return than the second one? (b) (8 points) What is the conditional probability that the rst portfolio returns a prot larger than 15 if the return on stock X is equal to 2