Computer Modeling and simulation

Question 5 Mr. Owusu a pensioner of ECG operates one of the biggest Electrical stores in Accra. The store has one checkout counter. Customers arrive at the checkout counter at random times 3 that range from 1 to 8 minutes apart. Assuming that the inter-arrival times are integer-valued with each of the 8 values having equal probability, following uniform distribution. The service times vary from 1 to 6 minutes (integer) with the probabilities given in the following table: Probability Service time in mins) 1 2 3 4 5 6 0.10 0.20 0.30 0.25 0.10 0.05 The random numbers for inter-arrival time are: 913, 727,015,948, 309, 922, 753, 235, 302. The random numbers for service time are: 84, 10, 74.53, 17,79, 91, 67, 89, 38. As a student of AIT, use your knowledge in computer simulation and help Mr. Owusu to: a) Simulate the system for 10 customers and compute waiting time of customers, total time spent by a customer in the system and idle time of the server CR (10 marks) b) i. Explain average waiting time and compute it ii. Explain average time spent in the system and compute it AN (5 marks) c) i. Evaluate the probability of idle server ii. Evaluate the average inter-arrival time EV