Consider the joint probability distribution below. Complete parts (a) through (c). X D. 1 2 Y 0 0.20 0.15 1 0.55 0.10 E a. Compute the marginal probability distributions for X and Y. ; 1 2 P(y) Y 0 0.20 0.15 0.35 1 0.55 0.10 PM (Type integers or decimals.) b. Compute the covariance and correlation for X and Y. Cov(X,Y) = D (Round to four decimal places as needed.) Corr(X,Y) = D (Round to three decimal places as needed.) c. Compute the mean and variance for the linear function W = X + Y. pw = D (Round to two decimal places as needed.) GEN = D (Round to four decimal places as needed.)