In: Statistics and Probability
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 158lb and a standard deviation of 34.2 lb.
a. If a pilot is randomly selected, find the probability that his weight is between 150lb and 201lb.
b. if the number different pilots are randomly selected, find the probability that their mean weight is between 150lb and 201lb
c. When redesigning the ejection seat, which probability is more relevent ?