Ball bearings are manufactured with a mean diameter of 6 millimeters (mm).Because of variability in the manufacturing process,the diameters of the ball bearings are known to be approximately normally distributed with a standard deviation of 0.026 mm.

What proportion of the ball bearings have a diameter between 5.95 mm and 6.05 mm?

Any ball bearings that have a diameter less than 5.95 mm or more than 6.05 mm are discarded. If 10,000 ball bearings are manufactured in a day, how many can the plant manager expect to discard?