An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distribute weights with a mean of 127 Ib and a standard deviation of 30.7 Ib. Click here to view page 1 of the standard normal 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 120 lb and 161 lb. The probability is approximately 0.4575 . (Round to four decimal places as needed.) b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 120 Ib and 161 Ib. The probability is approximately (Round to four decimal places as needed.)

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 Ib. The new population of pilots has normally distributed
weights with a mean of 127 Ib and a standard deviation of 30.7 Ib.
Click here to view page 1 of the standard normal 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 120 Ilb and 161 Ib.
The probability is approximately 0.4575 . (Round to four decimal places as needed.)
>
b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 Ib.
The probability is approximately- (Round to four decimal places as needed.)
>
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Transcribed Image Text:An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 Ib. The new population of pilots has normally distributed weights with a mean of 127 Ib and a standard deviation of 30.7 Ib. Click here to view page 1 of the standard normal 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 120 Ilb and 161 Ib. The probability is approximately 0.4575 . (Round to four decimal places as needed.) > b. If 36 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 Ib. The probability is approximately- (Round to four decimal places as needed.) > Enter your answer in the answer box and then click Check Answer. Clear All Check Answer part remaining P Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. Terms of Use | Privacy Policy I Permissions | Contact Us | MacBook Air
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