The health center of a small, private university requires students to have appointments for visits. each appointment takes an average of 5.6 minutes with a standard deviation of 3.7 minutes. the health center makes 100 appointments each day and is scheduled to be open for 10 hours. what is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (hint: 10 hours=600 minutes.) carry your intermediate computations to at least four decimal places. report your result to at least three decimal places.