In: Statistics and Probability
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 145 lb and a standard deviation of 30.1 lb.
b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 191 lb. The probability is approximately nothing. (Round to four decimal places as needed.)