3) (30 points) An investor has $1,000 and two investment opportunities, X and Y. For each $100 invested, X yields -$5 profit ($5 loss) with 40% probability and $20 profit with 60% probability. For each $100 invested, Y yields $0 profit with 60% probability and $25 profit with 40% probability. Outcomes of X and Y are independent. Investor reduced her choices to three alternative strategies: 1. Invest $1000 on X 2. Invest $1000 on Y 3. Invest $500 on both and Y Find expected value and variance of for all three strategies