i.) The Barbados Licensing Authority recently established a facility for customers to update their driver's licenses. It currently uses a single-server (single cashier), single line when processing license renewals. Based on recent evidence, the average number of customers arriving per hour is 20 and is best described by a Poisson distribution. The average service time per customer is 2 minutes on average, following a negative exponential distribution. a (1 mark) (2 marks) b. C. d. What are the arrival and service rates? What is the system utilisation rate? What is the average number of customers in the system? What is the average number of customers in the queue? What is the average time a customer spends in the system? What is the average time a customer spends in the queue? What is the probability that the cashier is not busy? (1 mark) (1 mark) (1 mark) (1 mark) (1 mark) e. f. g. ii.) Why is there waiting? (2 marks)