Question: 4.72 Consider the joint probability distribution: X 1 2 Y 0 0.15 0.35 1 0.30 0.20 a. Compute the marginal probability distributions for X and

4.72 Consider the joint probability distribution:

X 1 2 Y 0 0.15 0.35 1 0.30 0.20

a. Compute the marginal probability distributions for X and Y.

b. Compute the covariance and correlation for X and Y.

c. Compute the mean and variance for the linear function W = X + Y.

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