A professor holds regular office hours to assist students with their academic inquiries. The office hours are between 2:00-3:30 pm on Tuesdars and Thursdans. On averafe. 12 students visit the professor every week (she is only available during her office hours). The professor can provide effective assistance to five students per hour. Suppose you are tasked with analyzing this system as an M/M/1 model, Respond to the following questions: a) Calculate the probability of no aatient in the queve. b) Calculate the probability of two patients waiting in the queue. c) What is the average oumber of patients in the system