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

Random variables III Given independent random variables X and Y, with means and standard deviations as shown, find the mean and standard deviation of each of the variables below. Also, Y1 , Y2 , Y3 , and Y4 are independent variables with the same distribution as Y.

a) 0.8Y

b) 2X − 100

c) X + 2Y

d) 3X − Y

e) Y1 + Y2 + Y3 + Y4 Mean SD X 120 12 Y 300 16

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