A particular manufacturing design requires a shaft with a diameter between 22.90 and 23.018 mm. The manufacturing process yields shafts with diameters normally distributed, with a mean of 23.004 and standard deviation of .006.
a) for this process what is the proportion of shafts with a diameter between of 23.92 and 24.00 mm.
b) The probability that the shaft is acceptable is ___
c) The diameter that will be exceeded by only .5% of shafts is __