Question: If X ~ N(10, 3) and Y ~ N(15, 8), and if X and Y are independent, what is the probability distribution of a. X

If X ~ N(10, 3) and Y ~ N(15, 8), and if X and Y are independent, what is the probability distribution of
a. X + Y
b. X - Y
c. 3X
d. 4X + 5y

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