Herr Cutter has run his barber shop from the same location for nearly 25 years. He opens his shop at 8.00 am each week day morning. He enjoys the relaxed working environment, the regular hours and the opportunity to visit with his customers. Over the years he has built a reliable clientele. He is a fine barber who takes pride in his work. He has observed however that in recent years his new customers are much less like to return as in early years. He attributes this to decreasing tolerance for waiting. He is considering whether to hire an assistant. He has been able to collect data on arrivals and service times over a number of days, and figures are summarized below. Time Between Arrivals Service (mins) Probability Time (mins) Probability 20 15 0.2 0.3 25 20 0.3 0.35 30 0.35 25 0.35 35 0.15 Required a) Construct the appropriate random number mappings for the random variables starting from 00. b) Simulate 10 customers arriving at the using the random numbers given below. 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 Cutter is busy with customers Customer Random Numbers To Be Used in the Simulation 1 2 3 4 5 6 7 8 9 10 Interarrival time 0.08 0.87 0.15 0.04 0.52 0.46 0.96 0.10 0.02 0.76 Service Time 0.72 0.46 0.96 0.00 0.27 0.73 0.76 0.25 0.11 0.47 Use the following headings to complete the simulation Customer RN Time Between Wait Arrivals Arrival Begin for Time Service service RN Service End Time in Time Service System