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Let X and Y be random variables with the following distributions X N~ (20,2) and Y...

Let X and Y be random variables with the following distributions X N~ (20,2) and Y N~ (30,1). The covariance of X and Y is σ XY = 0.25 . Let Z= + 0.75X x 0.25Y . Find the mean and the variance of Z.

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