Consider the following joint probability distribution for uncertain quantities X and Y. Matcl appropriate values with the variables listed on the right.
P(X, Y) X=100 X=200 Y=0 0.30 0.20 Y=100 0.15 0.05 Y=250 0.10 0.20 - 1225 1225 1. Marginal Distribution of X ~ 145 2. Marginal Distribution of Y 2475 1225 122511725 3. Expected Value of X 4. Expected Value of Y 108.28 108.28 5. Co-variance of X and Y 6. Standard Deviation of X 1 0.227 0.2271 7. Standard Deviation of Y X p(x) 1000.55 2000.45 8. Correlation of X and Y 49.75 9. Co-variance Matrix of X and Y 10. Correlation Matrix of X and Y Y P(Y) 0 0.50 1000.20 2500.30 0.227