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(5 points) The random variables X and Y have joint probability distribution spec

ID: 3309801 • Letter: #

Question

(5 points) The random variables X and Y have joint probability distribution specified by the following table: 0 Please provide all answers to the following to three decimal places (a) Find the expectation of xy 3/8 (b) Find the covariance Cov(X, Y) between X and Y. 1/64 What is the correlation between X and Y'? 0.046 (d) Suppose the random variables X and Y above are connected to random variables U and V by the relations Y=4V + 9 What is the covariance Cov(U, V)? (e) What is the correlation between U and V?

Explanation / Answer

here as X and Y are linearly dependent on U and V ; therefore X and Y will have same correlation as between U and V.

hence Correlation between U and V =-0.046

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