[Solution] Show if Z is any random variable then Cov;(X+Y, Z)=Cov;(X, Z)+Cov;(Y,
Question: Show if \(Z\) is any random variable then \(\operatorname{Cov}(X+Y, Z)=\operatorname{Cov}(X, Z)+\operatorname{Cov}(Y, Z)\)
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![[Solved] Give an example showing that covariance](/images/solutions/MC-solution-library-45730.jpg "[Solved] Give an example showing that covariance can be")
[Solved] Give an example showing that covariance can be
![[Solution] Use the results of 2 and](/images/solutions/MC-solution-library-45731.jpg "[Solution] Use the results of 2 and 3 to find Cov;(3 X+2 Y, 5 Z-W)")
[Solution] Use the results of 2 and 3 to find Cov;(3 X+2 Y, 5 Z-W)
[Solved] Prove that V(X+Y)=V(X)+V(Y)+2 Cov;(X,
![[Solution Library] Two random variables X and](/images/solutions/MC-solution-library-45733.jpg "[Solution Library] Two random variables X and Y are uncorrelated if")
[Solution Library] Two random variables X and Y are uncorrelated if
(Solution Library) Show that if X and Y are 2 -state random variables and
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