Consider the following joint distribution of the random variables X and Y: Y=y 0 1 3 1/9 1/18 01/9 X= 2 3/18 1/18 1/18 3 1/18 4/18 ? 1. Compute the marginal distribution of X. 2. What is the mean of X? 3. What is the variance of X? 4. Compute the marginal distribution of Y. 5. What is the mean of Y? 6. What is the variance of Y? 7. Compute the distribution of X conditional on Y = 3. 8. Compute E(X|Y = 3). 9. Determine whether or not the random variables X and Y are independent. Justify your answer.