Lanang Caf has a barista vending machine that takes a constant 48 seconds serving per cup of coffee. The caf has determine during the weekend, customers expected to arrive for coffees every 10 minutes on average. Find each of the performance measures of this waiting line system for Lanang Caf.

a) What is the system utilization rate for the cafe?

b) Probability that caf will be busy when a customer request.

c) The average number of customer waiting in line.

d) The average time customers wait for a coffee.

e) What is the customers average waiting time on arrival?