An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 171 lb. The new population of pilots has normally distributed weights with a mean of 128 lb and a standard deviation of 34.9 lb. a) If a pilot is randomly selected, find the probability that their weight is between 120 lb and 171 lb. b) If 30 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 171 lb. c) When redesigning the ejection seat, which probability is more relevant?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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2) An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots
weighing between 120 lb and 171 lb. The new population of pilots has normally distributed weights with
a mean of 128 lb and a standard deviation of 34.9 lb.
a) If a pilot is randomly selected, find the probability that their weight is between 120 lb and 171 lb.
b) If 30 different pilots are randomly selected, find the probability that their mean weight is between
120 lb and 171 lb.
c) When redesigning the ejection seat, which probability is more relevant?

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