The bivariate random variables X and Y have joint probability mass function specified by the following table: y=1|y=2 y=3 y=4 x=1 0.05 0.10 0.10 0.01 x=2 0.15 0.25 0.20 0.05 x=3 0.01 0.03 0.04 0.01 Please provide all answers to the following to three decimal places. (a) Find the expectation of XY. (b) Find the covariance Cov(X, Y) between X and Y. (c) What is the correlation between X and Y? (d) Suppose the random variables X and Y above are connected to random variables U and V by the relations X = 3U +9 Y = 3V + 5 What is the covariance Cov(U, V)? (e) What is the correlation between U and V? A Go