Each semester, the students in the college of business at State University must have their course schedules approved by the college adviser. The students line up in the hallway outside the adviser’s office. The students arrive at the office according to the following probability distribution:
Time Between Arrivals (min.) . Probability
4 ......... .20
5 ......... .30
6 ......... .40
7 ........... .10
1.00
The time required by the adviser to examine and approve a schedule corresponds to the following probability distribution:
Schedule Approval (min.) . Probability
6 ........... .30
7 ............ .50
8 ............ .20
1.00
Simulate this course approval system for 90 minutes. Compute the average queue length and the average time a student must wait. Discuss these results.