The existing machine setting of a factory produces bearings with a diameter that is normally distributed with mean and standard deviation equal to 3.0005 cm and 0.0010 cm, respectively. Customer specifications require the bearing diameters to lie in the interval [2.998, 3.002]. Those outside the interval are considered scrap and must be re-machined. With the existing machine selling, what fraction of total production will not be considered scrap?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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The existing machine setting of a factory produces bearings with a diameter that is normally distributed with mean and standard deviation equal to 3.0005 cm and 0.0010 cm, respectively. Customer specifications require the bearing diameters to lie in the interval [2.998, 3.002]. Those outside the interval are considered scrap and must be re-machined. With the existing machine selling, what fraction of total production will not be considered scrap?

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