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a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 171 lb. The probability is approximately . (Round to four decimal places as needed.) b. If 31 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 171 lb. The probability is approximately. (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant?

a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 171 lb. The probability is approximately . (Round to four decimal places as needed.) b. If 31 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 171 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
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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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 171 lb. The new population of pilots has normally distributed weigh with a mean of 137 lh and a standard deviation of 27.4 lb. Standard Normal Distribution Table (Page 2) Urmal distribution Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 171 lb. The probability is approximately (Round to four decimal places as needed.) b. If 31 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 171 lb. The probability is approximately (Round four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. Part (b) because the seat performance for a sample of pilots is more important. B. Part (b) because the seat performance for a single pilot is more important. C. Part (a) because the seat performance for a single pilot is more important. D. Part (a) because the seat performance for a sample of pilots is more important.
Transcribed Image Text:An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 171 lb. The new population of pilots has normally distributed weigh with a mean of 137 lh and a standard deviation of 27.4 lb. Standard Normal Distribution Table (Page 2) Urmal distribution Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 171 lb. The probability is approximately (Round to four decimal places as needed.) b. If 31 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 171 lb. The probability is approximately (Round four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. Part (b) because the seat performance for a sample of pilots is more important. B. Part (b) because the seat performance for a single pilot is more important. C. Part (a) because the seat performance for a single pilot is more important. D. Part (a) because the seat performance for a sample of pilots is more important.
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