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Automobile manufacturers have to design the driver's seat area so that both tall and short adults can sit comfortably, reach all the controls and pedals, and see through the windshield. Suppose a new car is designed so that these conditions are met for people from 58 inches to 76 inches tall. The heights of adult men in the United States are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. Heights of adult women are approximately normally distributed with a mean of 64.5 inches and a standard deviation of 2.5 inches. a) What percentage of men in the United States is this car not designed to accommodate? )What percentage of women in the United States is this car not designed to accommodate?

Automobile manufacturers have to design the driver's seat area so that both tall and short adults can sit comfortably, reach all the controls and pedals, and see through the windshield. Suppose a new car is designed so that these conditions are met for people from 58 inches to 76 inches tall. The heights of adult men in the United States are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. Heights of adult women are approximately normally distributed with a mean of 64.5 inches and a standard deviation of 2.5 inches. a) What percentage of men in the United States is this car not designed to accommodate? )What percentage of women in the United States is this car not designed to accommodate?

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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**Designing Car Driver Seats for Varied Heights** Automobile manufacturers must ensure that the driver's seat area accommodates both tall and short adults comfortably. This includes being able to reach all controls and pedals and having a clear view through the windshield. Suppose a new car is designed to accommodate drivers with heights ranging from 58 inches to 76 inches. **Height Distribution in the U.S.:** - **Men:** The heights of adult men in the United States are approximately normally distributed with a mean height of 70 inches and a standard deviation of 3 inches. - **Women:** Heights of adult women are approximately normally distributed with a mean height of 64.5 inches and a standard deviation of 2.5 inches. **Questions:** a) What percentage of men in the United States is this car not designed to accommodate? b) What percentage of women in the United States is this car not designed to accommodate?
Transcribed Image Text:**Designing Car Driver Seats for Varied Heights** Automobile manufacturers must ensure that the driver's seat area accommodates both tall and short adults comfortably. This includes being able to reach all controls and pedals and having a clear view through the windshield. Suppose a new car is designed to accommodate drivers with heights ranging from 58 inches to 76 inches. **Height Distribution in the U.S.:** - **Men:** The heights of adult men in the United States are approximately normally distributed with a mean height of 70 inches and a standard deviation of 3 inches. - **Women:** Heights of adult women are approximately normally distributed with a mean height of 64.5 inches and a standard deviation of 2.5 inches. **Questions:** a) What percentage of men in the United States is this car not designed to accommodate? b) What percentage of women in the United States is this car not designed to accommodate?
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