A particular manufacturing design requires a shaft with a diameter between 19.92 mm and 20.015 mm. The manufacturing process yields shafts with diameters normally distributed, with a mean of 20.002 mm and a standard deviation of .006 mm.
a. For this process what is the proportion of shafts with a diameter between 19.92 mm and 20.00 mm?
b. For this process what is the probability that a shaft is acceptable?
c. For this process, what is the diameter that will be exceeded by only 1% of the shafts?
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