Question: A chemical plant superintendent orders a process shutdown and setting readjustment whenever the pH of the final product falls below 6.90 or above 7.10. The sample pH is normally distributed with unknown m, and standard deviation, s, of 0.05. Determine the probability:

a) of readjusting when the process is operating as intended and m = 7.0

b) of readjusting when the process is slightly off target and the mean pH is m = 7.02

c) of failing to readjust when the process is too alkaline and the mean pH is m = 7.15

d) of failing to readjust when the process is too acidic and the mean pH is m = 6.80