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What proportion of ball bearings will be discarded

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Question - Ball bearings are manufactured with a mean diameter of 4 millimeters (mm). Because of variability in the manufacturing process, the diameters of the ball bearings are approximately Normally distributed, with a standard deviation 0.012 mm.

-What proportion of ball bearings have a diameter more than 4.02 mm?

-Any ball bearings that have a diameter less than 3.97 mm or greater than 4.03 mm are discarded. What proportion of ball bearings will be discarded?

-Using the results of the last problem, if 20,000 ball bearings are manufactured in a day, how many should the plant manager expect to discard?

-An order comes in for 40,000 ball bearings, requesting that all the ball bearings delivered must be between 3.99 mm and 4.01 mm. How many bearings should the plant manager manufacture in order to satisfy the order? (You must explain how you are getting your answer to receive full credit.)

Reference no: EM133059401

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