7. (a) You have been asked to continue a single server queueing theory analysis started by a temporary employee who is no longer with the company that employs you. Only one piece of paper with no explanation written by this employee has been given to you. It states that the probability of having to wait for service is 0.60 and that the average time in the system is 0.25 minutes.

Copy the following table into your answer book and fill in the corresponding numeric values. These values should be computed by making use of an algebraic approach (so without enumerating different values). Clearly explain the steps you take in arriving at your answer.

(7 marks)

Factor	Value (4dp)
Traffic intensity
Average number of customers in the queue
Probability that there are three customers in the system