Consider the joint probability distribution below. Complete parts (a) through (c). Y Y 0 1 0 1 Pw 0.30 0.40 a. Compute the marginal probability distributions for X and Y. 0.30 0.40 X X 2 0.10 0.20 2 0.10 0.20 P(y) P(x) (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. (Round to two decimal places as needed.) (Round to four decimal places as needed.)

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