Please solve by hand, NOT EXCEL !!! Thank You

2. (10 pt each) The following tables show the information on the returns of two stocks S1 and S2 depending on the states of economy State of Econom Bear Normal Bull Probability of Return on States Occurrin Stock S1 6% 8% 9% Return on Stock S2 4% 12% 30% a. Calculate the expected return, variance and standard deviation for each stock. b. Find the covariance and correlation between stocks S1 and S2 c. What is the minimum variance (for all possible returns) portfolio? d. Suppose you have $5000 to invest. If stock S1 costs $30/share and S2 costs S55/share, how would you distribute your investment to obtain the minimum variance portfolio from c? e. To achieve 1 1 % return, how should you form the portfolio