A small hair salon in Denver, Colorado, averages about 88 customers on weekdays with a standard deviation of 8. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $5 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 95.
a. What is the probability to get a sample average of 95 or more customers if the manager had not offered the discount?