An example of the application of the Empirical Rule to a problem that asks for the area more extreme than given boundaries.
1. A factory produces brass fittings whose diameters are normally
distributed with a mean diameter of 0.2502 in and a standard deviation of
0.0033 in. As part of the quality assurance process, the factory will reject
any fittings whose diameters are more than 2 standard deviations from the mean.
What percent of the fittings will be rejected?