An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 145lb and a standard deviation of 33.9lb.

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Click here to view page 2 of the standard normal distribution.

a. If a pilot is randomlyselected, find the probability that his weight is between 140 lb and 191 lb.

The probability is approximately

. 4727

.4727. (Round to four decimal places asneeded.)

b. If 37 different pilots are randomlyselected, find the probability that their mean weight is between 140 lb and 191 lb.

The probability is approximately

nothing

. (Round to four decimal places asneeded.)

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

A.

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

B.

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

C.

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

D.

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