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Consider independent random variables X and Y , such that X has mean 2 and standard...

Consider independent random variables X and Y , such that X has mean 2 and standard deviation 4, and Y has mean 1 and standard deviation 9. Find the mean and standard deviation of the following random variables. a) 3X b) Y + 6 c) X + Y d) X − Y e) X1 + X2, where X1, X2 are independent copies of X.

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