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pilots has normally distributed weights with a mean U1 138 10 and 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 130 lb and 171 lb. The probability is approximately. (Round to four decimal places as needed.) b. If 35 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? OA Part (b) because the seat performance for a single pilot is more important.

pilots has normally distributed weights with a mean U1 138 10 and 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 130 lb and 171 lb. The probability is approximately. (Round to four decimal places as needed.) b. If 35 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? OA Part (b) because the seat performance for a single pilot is more important.

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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**Ejection Seat Redesign and Pilot Weight Distribution** An engineer is planning to redesign an ejection seat for an airplane. The current seat accommodates pilots whose weights range from 130 lb to 171 lb. The new pilot population has weights that are normally distributed, averaging 136 lb with a standard deviation of 25.4 lb. **Resource Links:** - [View Standard Normal Distribution Page 1](#) - [View Standard Normal Distribution Page 2](#) **Probability Calculations:** a. **Individual Pilot Weight Probability:** - *Question*: What is the probability that a randomly selected pilot weighs between 130 lb and 171 lb? - *Answer*: The probability is approximately \_\_\_ (Round to four decimal places as needed.) b. **Mean Weight Probability for 35 Pilots:** - *Question*: If 35 different pilots are chosen randomly, what is the probability that their mean weight falls between 130 lb and 171 lb? - *Answer*: The probability is approximately \_\_\_ (Round to four decimal places as needed.) c. **Relevant Probability in Ejection Seat Redesign:** - *Question*: In the context of redesigning the ejection seat, which probability is more significant? - ◯ A. Part (b), as the seat's performance for a group of pilots is crucial. - ◯ B. Part (a), as the seat's performance for an individual pilot is crucial.
Transcribed Image Text:**Ejection Seat Redesign and Pilot Weight Distribution** An engineer is planning to redesign an ejection seat for an airplane. The current seat accommodates pilots whose weights range from 130 lb to 171 lb. The new pilot population has weights that are normally distributed, averaging 136 lb with a standard deviation of 25.4 lb. **Resource Links:** - [View Standard Normal Distribution Page 1](#) - [View Standard Normal Distribution Page 2](#) **Probability Calculations:** a. **Individual Pilot Weight Probability:** - *Question*: What is the probability that a randomly selected pilot weighs between 130 lb and 171 lb? - *Answer*: The probability is approximately \_\_\_ (Round to four decimal places as needed.) b. **Mean Weight Probability for 35 Pilots:** - *Question*: If 35 different pilots are chosen randomly, what is the probability that their mean weight falls between 130 lb and 171 lb? - *Answer*: The probability is approximately \_\_\_ (Round to four decimal places as needed.) c. **Relevant Probability in Ejection Seat Redesign:** - *Question*: In the context of redesigning the ejection seat, which probability is more significant? - ◯ A. Part (b), as the seat's performance for a group of pilots is crucial. - ◯ B. Part (a), as the seat's performance for an individual pilot is crucial.
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 weights with a mean of 136 lb and a standard deviation of 25.4 lb. [Links to standard normal distribution not transcribed] **b.** If 35 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.** Part (b) because the seat performance for a single pilot is more important. - **B.** Part (a) because the seat performance for a single pilot is more important. - **C.** Part (a) because the seat performance for a sample of pilots is more important. - **D.** Part (b) because the seat performance for a sample of pilots is more important. No graphs or diagrams are present in the image.
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 weights with a mean of 136 lb and a standard deviation of 25.4 lb. [Links to standard normal distribution not transcribed] **b.** If 35 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.** Part (b) because the seat performance for a single pilot is more important. - **B.** Part (a) because the seat performance for a single pilot is more important. - **C.** Part (a) because the seat performance for a sample of pilots is more important. - **D.** Part (b) because the seat performance for a sample of pilots is more important. No graphs or diagrams are present in the image.
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given data,normal distributionμ=136σ=25.4p(130<x<171)=?

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