The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters. These can be shown through TI-83 calculator steps.

a. What is the probability that a randomly selected ball bearing will be acceptable ? (Round to tenth of a percent)

b. What does the acceptable range of the diameter need to be if you wanted to accept 98% of the ball bearings ? (Round to thousandths)