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? (Round z-score computation to 2 decimal places and your final answer to 2 decimal places. Omit the "%" sign in your response.)
(b) What percent of the time will the bank be notified because the amount dispensed is high? (Round z-score computation to 2 decimal places and your final answer to 2 decimal places. Omit the "%" sign in your response.)
(c) What percent of the time will the bank not be notified regarding the amount of funds dispersed? (Round your answers to 2 decimal places. Omit the "%" sign in your response.)