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Let X and Y be random variables and c a constant. Let Z = X +...

Let X and Y be random variables and c a constant.

Let Z = X + cY.

You are given the following information:

E(X) = 5, Var(X) = 10, E(Y) = 3, Var(Y) = 1, Var(Z) = 37, and Cov(X,Y)=3.

Find c if E(Z)≥0.

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