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?

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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