Find correlation coefficient of u and v of random variables

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Reference no: EM13255011

Two statistically independent random variables, X and Y, have variances of sigma^2 (X) =9 and sigma^2(Y) =25. Two new random variables are defined as:

U = 3X + 4Y

V = 5X - 2Y

(a) Find the variances of U and V.

(b) Find the correlation coefficient of U and V.

Reference no: EM13255011

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Find correlation coefficient of u and v of random variables : Two statistically independent random variables, X and Y, have variances of sigma^2 (X) =9 and sigma^2(Y) =25. Two new random variables are defined as: U = 3X + 4Y V = 5X - 2Y (a) Find the variances of U and V.

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