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(12Y, 9X) Answer: (b) Cov(12Y +3,9X + 8Z) Answer:

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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part A and part B

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(12Y, 9X)
Answer:
(b) Cov(12Y +3, 9x + 8Z)
Answer:
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(12Y, 9X) Answer: (b) Cov(12Y +3, 9x + 8Z) Answer:
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