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Need help with probability problem: Problem 4. (20 points) X is a random variable with Var(X) : 5, and Z is a random variable with

Need help with probability problem:

Problem 4. (20 points) X is a random variable with Var(X) : 5, and Z is a random variable with Var(Z) : 1. Suppose X and Z are negatively correlated. a) What is the maximum possible value of Var(X + Z )? b) Is it true that E[XZ] 2 0'? Why or Why not

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