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 0.058 mm.

a. What proportion of the ball bearings have a diameter between 5.9 mm and 6.1 mm?Round your answer to the nearest thousandth (3decimal places).

b.Interpret the meaning of your answer to part a.

c.Any ball bearings that have a diameter less than 5.9 mm or more than 6.1 mm are discarded. If 10,000 ball bearings are manufactured in a day, how many can the plant manager expect to discard?