The food court at Tech has a single checkout counter over the weekends staff ed by one employee who takes an average of 2 minutes to checkout a customer. Students arrive to the food court at a rate of 25 per hour. The campus newspaper has recently published complaints from students about slow service in the food court on weekends. Use queuing theory to calculate the following:

a. The average number of students in the system

b. The average number of students in the waiting line

c. The average time a student spends in the line

d. The probability that the cashier would be busy and thus the student would have to wait