A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is 0.500 inches. A bearing is acceptable if its diameter is within 0.004 inches 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 inches and standard deviation 0.002 inches. What percentage of the bearings produced will not be acceptable

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A machine that produces ball bearings has
initially been set so that the true average diameter of the
bearings it produces is 0.500 inches. A bearing is acceptable
if its diameter is within 0.004 inches 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 inches and standard deviation 0.002 inches.
What percentage of the bearings produced will not be
acceptable?

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