The funds dispensed at the ATM machine located near the checkout line at the Kroger’s in
Union, Kentucky, follows a normal probability distribution with a mean of $4,200 per day and a standard deviation of $720 per day. The machine is programmed to notify the nearby bank if the amount dispensed is very low (less than $2,500) or very high (more than $6,000).
a. What percent of the days will the bank be notified because the amount dispensed is very low?
b. What percent of the time will the bank be notified because the amount dispensed is high?
c. What percent of the time will the bank not be notified regarding the amount of funds dispersed?