An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lb and 201lb. The new population of pilots has normally distributed weights with a mean of 157 lb and a standard deviation of 32.5lb.   a. If a pilot is randomly​ selected, find the probability that his weight is between 120lb and 181lb. The probability is approximately ​(Round to four decimal places as​ needed.)   b. If 31 different pilots are randomly​ selected, find the probability that their mean weight is between 120lb and 181lb. The probability is approximately ​(Round to four decimal places as​ needed.)

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