Question: Random variables Given independent random variables X and Y, with means and standard deviations as shown, find the mean and standard deviation of each of

Random variables Given independent random variables X and Y, with means and standard deviations as shown, find the mean and standard deviation of each of the random variables below. Also, X1 and X2 are independent variables with the same distribution as X.

a) 3X

b) Y + 6

c) X + Y

d) X − Y

e) X1 + X2 Mean SD X 10 2 Y 20 5

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