An engineer is going to redesign an ejection 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 140lb and a standard deviation of 27.8lb.

a. If a pilot is randomlyselected, find the probability that his weight is between 130 lb and 171 lb.

The probability is approximately . (Round to four decimal places asneeded.)

b. If 37 different pilots are randomlyselected, find the probability that their mean weight is between 130 lb and 171 lb.

The probability is approximately . (Round to four decimal places asneeded.)

c. When redesigning the ejectionseat, which probability is morerelevant?

A.

Part(a) because the seat performance for a single pilot is more important.

B.

Part(a) because the seat performance for a sample of pilots is more important.

C.

Part(b) because the seat performance for a sample of pilots is more important.

D.

Part(b) because the seat performance for a single pilot is more important.