Question

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between

140 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of

148 lb and a standard deviation of 26.2 lb.

a. If a pilot is randomly​ selected, find the probability that his weight is between 140 lb and

181 lb.The probability is approximately

b. If 38 different pilots are randomly​ selected, find the probability that their mean weight is between

140 lb and 181 lb.The probability is approximately

Answer 1

Here we have

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 26.2 lb.

So