6.110 A machine operation produces bearings with diameters that are normally distributed with mean and standard deviation equal to 3.0005 and 0.001, respectively. Customer specifications require the bearing diameters to lie in the interval 3.000 0.0020. Those outside the interval are considered scrap and must be re-machined or used as stock for smaller bearings. With the existing machine setting, what fraction of total production will be scrap?