I'm stuck on this problem.

3. What about the standard deviation of your portfolio? What about the standard deviation of the rate of return? 4. How does the risk of the portfolio compares with the risk individual projects (i.e. investing the entire $100, 000 in either project XX or YY)? 5. Suppose that your preferences are captured by a mean-variance utility function, with a risk aversion coefficient o = 0.9. If given a choice to invest the entire amount of $100, 000 in a single project, which would you choose: project XX, project YY, or a risk-free project, F, that yields a rate of return of TF = 3%? 6. You are given an additional $50, 000 to invest. How do you allocate it between your original portfolio, W, and the risk-free project, F (if your risk aversion is o = 0.9)?You are a portfolio manager with $100,000 to invest. Today (at date if) there are two Opportunities to invest, both yielding a stochastic payoff depending the state of the world to be realized next month {at date t + 1). In particular, the economy will oontinue on an upward trajectory with probability 60%, or will turn into recession with probability 40%. Far each dollar invested in a project, the distribution of the project's payoffs is given as follows. XX YY El flu?) 6 l'ujg' 6 \\. pd=.4 rig-Ll 4 Suppose that you hold a portfolio W with $40, 000 invested in project XX, and $60, 000 invested in project YY. 1. What is the expected payoff and the varianoe of project XX? What is the expected payoff and the variance of project FY? 2. What is the expected payoff of your portfolio as of today {date t)? What is the expected rate of return of your portfolio as of today [date 1}