Question: 4. Consider the information given in Exercise 3. Suppose further that the marginal mean and variance of X are E(X) = 24 and 2X =

4. Consider the information given in Exercise 3. Suppose further that the marginal mean and variance of X are E(X) = 24 and σ2X

= 9, and the marginal variance of Y is σ2Y

= 36.25.

(a) Find the marginal mean of Y. (Hint. Use Proposition 4.6-1, or the Law of Total Expectation given in 4.3.15.)

(b) Find the covariance and the linear correlation coefficient of X and Y. (Hint. Use Proposition 4.6-3.)

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