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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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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?
Transcribed Image Text: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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