The random variables X and Y have joint probability distribution specified by the following table: y=0 y=1 y=2 1 1 x=0 4 8 1 3 x=1 4 8 Please provide all answers to the following to three decimal...

Extracted text: The random variables X and Y have joint probability distribution specified by the following table: y=0 y=1 y=2 1 1 x=0 4 8 1 3 x=1 4 8 Please provide all answers to the following to three decimal places. (a) Find the expectation of XY. 0.375 (b) Find the covariance Cov(X,Y) between X and Y. 1 64 (c) What is the correlation between X and Y? -0.0463 (d) Suppose the random variables X and Y above are connected to random variables U and V by the relations X = 9U + 9 Y = 4V + 8 || What is the covariance Cov(U,V)? 1 5184 (e) What is the correlation between U and V?