Consider the following two stocks: State Probability Return on Stock X Return on Stock Y 1 0.2 30% 12% 2 0.3 10% 20% 3 0.4 5% 13% 4 0.1 -20% 5% a. Calculate the expected return and standard deviation of Stock X b. Calculate the expected return and standard deviation of Stock Y c. If the correlation between X and Y is 0.56, what is the covariance between X and Y? d. If you decide to invest 20% of your capital to X and the remaining to Y, what are the expected return and the standard deviation of your portfolio (assuming the correlation between X and Y is still 0.56)