# Question: A machine that produces ball bearings has initially been set

A machine that produces ball bearings has initially been set so that the mean diameter of the bearings it produces is 0.500 inch. A bearing is acceptable if its diameter is within 0.004 inch of this target value. Suppose, however, that the setting has changed during the course of production, so that the distribution of the diameters produced is well approximated by a normal distribution with mean 0.499 inch and standard deviation 0.002 inch. What percentage of the bearings produced will not be acceptable?

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