A chemical plant superintendent orders a process shutdown andsetting readjustment whenever the pH of the final product fallsbelow 6.90 or above 7.10. The sample pH is normallydistributed with unknown μ, and standard deviation of0.05. Determine the probability:

a) of readjusting when the process is operating as intendedand μ=7.0
b) of readjusting when the process is slightly off target andthe mean pH is μ=7.02
c) of failing to readjust when the process is too alkaline andthe mean pH is μ=7.15
d) of failing to readjust when the process is too acidic andthe mean pH is μ=6.80