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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 181 lb. The new population of pilots has normally distributed weights with a mean of 138 b and a standard deviation of 32.6 lb. Click here to view page 1 of the standard nommal distribution. Click here to view page 2 of the standard nommal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 181 lb. The probability is approximately 0.5053 - (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 Ib. The probability is approximately (Round to four decimal places as needed.)

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 138 b and a standard deviation of 32.6 lb. Click here to view page 1 of the standard nommal distribution. Click here to view page 2 of the standard nommal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 181 lb. The probability is approximately 0.5053 - (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 Ib. The probability is approximately (Round to four decimal places as needed.)

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 pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 138 b and a standard deviation of 32.6 lb. Click here to view page 1 of the standard nommal distribution. Click here to view page 2 of the standard nommal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 181 lb. The probability is approximately 0.5053 . (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 Ib. The probability is approximatelyO. (Round to four decimal places as needed.)
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 181 lb. The new population of pilots has normally distributed weights with a mean of 138 b and a standard deviation of 32.6 lb. Click here to view page 1 of the standard nommal distribution. Click here to view page 2 of the standard nommal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 181 lb. The probability is approximately 0.5053 . (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 Ib. The probability is approximatelyO. (Round to four decimal places as needed.)
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