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 ofpilots has normally distributed weights with a mean of 136 lb. and a standard deviation of 30.6 lb.

(a)If a pilot is randomly selected, find the probability that his weight is between 130 lb. and 171 lb.

The probability is approximately ___________

(b)If 36 different pilots are randomly selected, find the probability that their mean weight is between 130 lb. and 171 lb.

The probability is approximately _____________

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