The specifications call for a shaft to be 1.000 inch in diameter. The acceptable tolerances are +/- 0.005 inches. By doing a process study, you have determined that the average output of diameter is 1.002 and the standard deviation is 0.002. What is the probability that a shaft taken at random from the process will need to be reworked (is too large) or will need to be scrapped (is too small)? What then is the probability that a shaft will be acceptable? Assume that the diameter of the shaft is a random variable that is Normally distributed.

You may use the Excel Normal function and what you did to solve it and what your specific recommendation or plan is for monitoring quality.