# The BB Manufacturing Company mass-produces ball bearings. The optimum diameter of a bearing is 45 mm, but records show that the diameters follow a normal distribution with mean 45 mm and standard deviation 0.05 mm. A diameter between 44.95 and

The BB Manufacturing Company mass-produces ball bearings. The optimum diameter of a bearing is 45 mm, but records show that the diameters follow a normal distribution with mean 45 mm and standard deviation 0.05 mm. A diameter between 44.95 and 45.05 mm is acceptable.

a. What percentage of the output is acceptable?

b. What percentage of the output is unacceptable?

c. After retooling some of the equipment, the standard deviation is cut in half. What percentage of the output is now unacceptable?

d. If the engineers at the company want a 99.7% acceptability rate, what should their target standard deviation be?

Distribution

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

a. What percentage of the output is acceptable?

b. What percentage of the output is unacceptable?

c. After retooling some of the equipment, the standard deviation is cut in half. What percentage of the output is now unacceptable?

d. If the engineers at the company want a 99.7% acceptability rate, what should their target standard deviation be?

Distribution

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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