Suppose that X and Y are unknown with E(X) = 10, Var(X) = 4, E(Y) = 12 and Var (Y) = 100. In addition, suppose that the correlation coefficient of X with Y is .6. Then what is the variance of X + Y?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Suppose that X and Y are unknown with E(X) = 10, Var(X) = 4, E(Y) = 12 and Var (Y) = 100. In addition, suppose that the correlation coefficient of X with Y is .6. Then what is the variance of X + Y?

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