An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 129lb and a standard deviation of 27.9lb.

If a pilot is randomly selected, find the probability that his weight is between 120 lb and 181 lb.

If 34 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 181 lb.