The University Replication Facility Provides Copier Repair Service for the University

Short Answer

The university replication facility provides copier repair service for the university and for local businesses. Over the last year the mean arrival rate is 55 copiers a month. The repair facility uses two identical repair technicians who can repair an average of 30 copiers each month. The system is set up as a single channel, first come first served, multi-server system.
a) What is the utilization of the service center?
b) What is the probability that no copiers will be in the system?
c) What is the average number of copiers waiting in line?
d) What is the average time a copier is waiting to be repaired?
e) What is the average number of copiers in the system?