Mary investigates two random variables, X and Y , where Y = X4 . She finds that E(XY ) = 0, E(X) = 0, and E(Y ) = 4. (a) Using this information, find COV(X, Y ). (b) In your own words, describe the association between X and Y . (c) Are X and Y independent? Explain your answer using your own words. Include a statement about your covariance calculation in your answer. (You do NOT need to complete any calculations to answer this question.)The correlation coefficient can tell us a lot about how two variables are related. What type of relationship does the correlation coefficient measure? (b) George starts with the joint distribution (X, Y ). He finds the marginal distribution for Y . George checks his work, and finds that the sum of the marginal distribution probabilities is equal to 1.25. Is this correct or was an error made (is there enough information to tell?)? If an error was made, what should be the sum of the marginal distribution probabilities