Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 540 and a standard deviation of 210. The supermarket is open 13 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 7700? (Hint: Calculate the average hourly number of customers necessary to exceed 7700 in one 13-hour day.)

Probability =