Let X and Y be independent random variables with X 2, X 1, Y 2, and Y 3 Find the means and variances of the following quantities a 3X b X Y c X Y d 2X 6Y

Question: Let X and Y be independent random variables with X = 2, X = 1, Y = 2, and Y = 3. Find the means

Let X and Y be independent random variables with μX = 2, σX = 1, μY = 2, and σY = 3. Find the means and variances of the following quantities.
a. 3X
b. X + Y
c. X − Y
d. 2X + 6Y

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