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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

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.

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)

PLEASE SHOW WORK USING TI84

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