Question: Let X and Y be statistically independent random variables with Var(X) = 7 and Var(Y) = 13. We do not know E[X] or E[Y].

Let X and Y be statistically independent random variables with Var(X) =

Let X and Y be statistically independent random variables with Var(X) = 7 and Var(Y) = 13. We do not know E[X] or E[Y]. Let Z = 5X + 3Y. Calculate the correlation coefficient defined as p(X, Z) = Cov(X,Z) . Var(X)Var(Z) If applicable, please round your answer to 3 decimal places. [4pts]

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