Let X, Y, and Z be random variables, and let Cov(,) denote the covariance operator as usual. Suppose that the variance of X is 0.7, Cov(X,Y) = 0.4, Cov(X,Z) = 1.2, and Cov(Y,Z) = 0.8. Find each of the following to two decimal places. a) Cov(11Y, 4X)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let X, Y, and Z be random variables, and let Cov(:,-) denote the covariance operator as usual. Suppose that the variance of X is 0.7,
Cov(X,Y) = 0.4, Cov(X,Z) = 1.2, and Cov(Y,Z) = 0.8. Find each of the following to two decimal places.
(a) Cov(11Y, 4X)
Transcribed Image Text:Let X, Y, and Z be random variables, and let Cov(:,-) denote the covariance operator as usual. Suppose that the variance of X is 0.7, Cov(X,Y) = 0.4, Cov(X,Z) = 1.2, and Cov(Y,Z) = 0.8. Find each of the following to two decimal places. (a) Cov(11Y, 4X)
(b) Cov(11Y + 3, 4X + 8Z)
Transcribed Image Text:(b) Cov(11Y + 3, 4X + 8Z)
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