One of University has decided to increase the number of computer assignments in its curriculum and wanted to know how it would impact the help desk. Instead of only one person working at the help desk, the campus is even considering plans to have the same 3 service providers. It is expected that the average arrival of students is 45 people per hour, following the Poisson distribution. Meanwhile, on average each server serves 18 students per hour, following an exponential distribution. Then, calculate the characteristics of the service system based on the following questions:

a. How much is the University help desk utilization?

b. Probability that there are no students in the system?

c. Average number of students waiting in queue?