Consider the joint probability distribution below. Complete parts (a) through (c). 1 2 Y 0 0.15 0.40 1 0.25 0.20 a. Compute the marginal probability distributions for X and Y. 1 2 P(y) Y 0 0.15 0.40 0.55 1 0.25 0.20 0.45 P(x) 0.40 0.60 ... (Type integers or decimals.) 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 three decimal places as needed.) c. Compute the mean and variance for the linear function W = X + Y. Hw = (Round to two decimal places as needed.) 2 = (Round to four decimal places as needed.)