An engineer is going to redesign an ejection seat for an airplane. The seat for an airplane. The seat was designed for pilots weighing between 130 lb and 171 lb. The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 30.1 lb.
a. If a pilot is randomly selected, find the probibility that his weight is between 130 lb and 171 lb.
b. If 30 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 171 lb.
c. When redesigning the ejection seat, which probability is more relevant?