You face two investment opportunities with the following projected returns

State of Economy	Probability of State of Economy	Investment A Returns (%)	Investment B Returns (%)
1. Recession	0.3	10	5
2. Normal	0.6	15	10
3. Boom	0.1	30	15

Answer the following questions: (a) For each investment, calculate the expected return and standard deviation. (b) Calculate the covariance and correlation between the projects. (c) Form a portfolio with 20% of your wealth in asset A and 80% of your wealth in asset B. What will be the expected value and standard deviation of your portfolio?