# Question

A ½ -in nominal diameter round is formed in an automatic screw machine operation that is initially set to produce a 0.5000-in diameter and is reset when tool wear produces diameters in excess of 0.5008 in. The stream of parts is thoroughly mixed and produces a uniform distribution of diameters.

(a) Estimate the mean and standard deviation of the large batch of parts from setup to reset.

(b) Find the expressions for the PDF and CDF of the population.

(c) If, by inspection, the diameters less than 0.5002 in are removed, what are the new PDF and CDF as well as the mean and standard deviation of the diameters of the survivors of the inspection?

(a) Estimate the mean and standard deviation of the large batch of parts from setup to reset.

(b) Find the expressions for the PDF and CDF of the population.

(c) If, by inspection, the diameters less than 0.5002 in are removed, what are the new PDF and CDF as well as the mean and standard deviation of the diameters of the survivors of the inspection?

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