Question 3 A In a single pump petrol station, it was observed that the inter-arrival times and service times are as given in the table. Inter-arrival time Minutes 1 3 5 7 9 Probability 0.10 0.17 0.35 0.23 0.15 Service time Minutes 2 4 6 8 10 a) compute the midpoints for arrival and service times and construct the appropriate random number mappings for the random variables starting from 00. b) Simulate 15 customers arriving at the using the random numbers given below. Customer RN Probability 0.10 0.23 0.35 0.22 0.10 c) What is the average time a customer waits for service?/* d) What is the average time a customer is in the system (wait plus service time) ( e) What is the percent of time the clerk is busy with customers? Random Numbers To Be Used in the Simulation 1 15 Customer 2 3 4 5 6 7 8 9 10 11 12 13 14 Interarrival time 0.08 0.87 0.15 0.04 0.52 0.46 0.96 0.1 0.02 0.76 0.32 0.1 0.62 0.25 0.9 Service Time 0.72 0.46 0.96 00 0.27 0.73 0.76 0.25 0.11 0.47 0.28 0.83 0.52 0.39 0.68 Use the following headings to complete the simulation Time Between Arrivals Wait for RN Service End Arrival Begin Time Service service Time in Time Service System

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