The random variables X and Y have joint probability distribution specified by the following table: y=1 31:2 31:3 2:1 0.80 0.05 0.00 $=2 0.05 0.20 0.05 93:3 0.00 0.05 0.30 Please provide all answers to the following to three decimal places. (a) Find the expectation of X Y. (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=5U+7 Y=9V+5 What is the covariance Cov(U, V)