Let X and Y be statistically independent random variables with Var(X) = 4 and Var(Y) = 10. We do not know E[X] or E[Y]. Let Z = 2X +9Y. Calculate the correlation coefficient defined as p(X, Z) = Cov(X,Z) Var(X)Var(Z)

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= 10. We do
Let X and Y be statistically independent random variables with Var(X) = 4 and Var(Y)
not know E[X] or E[Y]. Let Z = 2X +9Y. Calculate the correlation coefficient defined as p(X, Z) =
Cov(X,Z)
√Var(X)Var(Z)
Transcribed Image Text:= 10. We do Let X and Y be statistically independent random variables with Var(X) = 4 and Var(Y) not know E[X] or E[Y]. Let Z = 2X +9Y. Calculate the correlation coefficient defined as p(X, Z) = Cov(X,Z) √Var(X)Var(Z)
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