Question: 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.

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 136lb and a standard deviation of 31.3lb.

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

The probability is approximately

nothing

. (Round to four decimal places asneeded.)

b. If 30 different pilots are randomlyselected, find the probability that their mean weight is between 130 lb and 171 lb.

The probability is approximately

nothing

. (Round to four decimal places asneeded.)

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

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