Suppose X and Y are random variables with μx = 32, σx = 5, μy = 44, and σy = 12. Given that X and Y are independent, what are the mean and standard deviation of the random variable X + Y?
(A)μx+y = 76, σx+y = 8.5 (B)μx+y = 76, σx+y = 13 (C)μx+y = 76, σx+y = 17 (D)μx+y = 38, σx+y = 17
B