Question: 4.75 Consider the following probability distribution: X 1 2 Y 2 0.55 0.05 3 0.25 0.15 a. Compute the marginal probability distributions for X and

4.75 Consider the following probability distribution:

X 1 2 Y 2 0.55 0.05 3 0.25 0.15

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 = 3X - 2Y.

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