1. Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability x Y Z Boom 0.15 16% 10% 22% Semi-Boom ?? 14% 8% 18% Normal 0.50 10% 6% 14% Mild-Recession 0.10 5% 4% -10% Full-Recession 0.10 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z