Find the correlation coefficient between the random variables X and Y if the covariance of X and Y is 0.8 and variances of the random variables X and Y are 4 and 9, respectively. 0.150 0.125 0.142 0.133
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The random variables X and Y have joint probability distribution specified by the following table: y=0 y=1 y=2 x=0 1/4 0 1/8 x=1 1/4 3/8 0 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 = 7U + 7 Y = 7V + 9 What is the covariance Cov(U, V)? (e) What is the correlation between U and V?
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