K Consider the joint probability distribution given below. Complete parts (a) through (c). X 1 2 Y 0 0.40 0.10 0.15 0.35 a. Compute the marginal probability distributions for X and Y. (Type integers or decimals.) X 1 2 P(y) Y 0 0.40 0.10 0.50 1 0.15 0.35 0.50 P(x) 0.55 0.45 b. Compute the covariance and correlation for X and Y. Cov(X,Y) = 0.125 (Round to four decimal places as needed.) Corr(X,Y)=0.5025 (Round to four decimal places as needed.) c. Compute the mean and variance for the linear function W=X+Y. Hw 2.05 (Round to two decimal places as needed.)