An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilot weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weigh with a mean of 149 lb and a standard deviation of 28.7 lb. a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) b. If 37 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant?

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilot weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weigh with a mean of 149 lb and a standard deviation of 28.7 lb. a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) b. If 37 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilot
weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weigh
with a mean of 149 lb and a standard deviation of 28.7 lb.
a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191 lb.
The probability is approximately
(Round to four decimal places as needed.)
b. If 37 different pilots are randomly selected, find the probability that their mean weight is
between 140 lb and 191 lb.
The probability is approximately
(Round to four decimal places as needed.)
c. When redesigning the ejection seat, which probability is more relevant?

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