Consider the joint probability distribution given below. Complete parts (a) through (c). X 1 2 0 0.30 0.10 1 0.15 0.45 a. Compute the marginal probability distributions for X and Y. (Type integers or decimals.) X 1 2 P(y) Y 0 0.30 0.10 0.40 1 0.15 0.45 0.60 P(x) 0.45 0.55 b. Compute the covariance and correlation for X and Y. Cov(X,Y) = (Round to four decimal places as needed.) Corr(X,Y) = = (Round to four decimal places as needed.) c. Compute the mean and variance for the linear function W = X + Y. = (Round to two decimal places as needed.) = (Round to four decimal places as needed.)