One of the variables collected in the North Carolina Birth Registry data (A-3) is pounds gained during pregnancy. According to data from the entire registry for 2001, the number of pounds gained during pregnancy was approximately normally distributed with a mean of 30.23 pounds and a standard deviation of 13.84 pounds. Calculate the probability that a randomly selected mother in North Carolina in 2001 gained:

(a) Less than 15 pounds during pregnancy

(b) More than 40 pounds

(c) Between 14 and 40 pounds

(d) Less than 10 pounds

(e) Between 10 and 20 pounds