X and Y are two random variables with E(X) = 5, E(Y) = 10, o? = 4 and o = 9 respectively. The correlation coefficient between X and Y is 0.5. New variable U and V are defined as U =X+ Y and V = X-Y. Find the correlation coefficient between 'U' and 'V'. %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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0. X and Y are two random variables with E(X) = 5, E(Y) = 10, o = 4 and o? = 9 respectively. The correlation
coefficient between X and Y is 0.5. New variable U and V are defined as U =X+Y and V = X-Y. Find the
correlation coefficient between 'U' and 'V'.
%3D
%3D
Transcribed Image Text:0. X and Y are two random variables with E(X) = 5, E(Y) = 10, o = 4 and o? = 9 respectively. The correlation coefficient between X and Y is 0.5. New variable U and V are defined as U =X+Y and V = X-Y. Find the correlation coefficient between 'U' and 'V'. %3D %3D
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