(Solved): Consider the joint probability distribution given below. Complete parts (a) through (c). X D 1 2 Y ...

Consider the joint probability distribution given below. Complete parts (a) through (c). X D 1 2 Y 0 0.30 0.15 1 0.20 0.35 a. Compute the marginal probability distributions for X and Y. (Type integers or decimals.) X 1 2 P(y) Y 0 0.30 0.15 0.45 1 0.20 0.35 0.55 P(x) 0.50 0.50 b. Compute the covariance and correlation for X and Y. Cov(X,Y)= 0.075 (Round to four decimal places as needed.) Corr(X,Y)= (Round to four decimal places as needed.)