Shafts manufactured for use in optical storage devices have diameters that are normally distributed with mean μ = 0.652 cm and standard deviation σ = 0.003 cm. The specification for the shaft diameter...

Shafts manufactured for use in optical storage devices have diameters that are normally distributed with mean μ = 0.652 cm and standard deviation σ = 0.003 cm. The specification for the shaft diameter is 0.650 ± 0.005 cm. a) What proportion of the shafts manufactured by this process meet the specifications? b) The process mean can be adjusted through calibration. If the mean is set to 0.650 cm, what proportion of the shafts will meet specifications? c) If the mean is set to 0.650 cm, what must the standard deviation be so that 99% of the shafts will meet specifications?