After a recent outbreak of the Flu in the Rochester area, students arrive at the health center at a rate of .8/hr. 1. If a typical day is 9 hours long, what is the average number of students who will show up to the health center? 2. If the health center places students in a treatment room when they arrive and the patients stay the remainder of the day, what is the probability the health center will overfill capacity if there is enough rooms for 10 students. 3. What is the probability that exactly 6 students arrive today? 4. What is the probability that at least 7 students arrive but no more than 10?