During the dinner hour, the distribution of the inter-arrival time of customers at a restaurant is estimated to be as shown below. The mode of payment and the service times of the cash and credit card customers are shown in the following tables. Complete the tables and simulate the system for 20 customer arrivals and determine the average time a cash and credit card customer must wait in line before paying the cashier. Use Column A of the given random number table to determine the customer inter-arrival time, Column B to determine whether the customer pays with cash or credit, and Column C to determine the service time.

Complete the table below to show the results of the simulation.

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Inter-arrival Time 30 seconds 60 seconds 90 seconds 120 seconds 150 seconds Inter-arrival time Probability 0.45 0.25 0.15 0.10 0.05 Cumulative Random Number Probability Interval Payment Mode Cash Credit Card Mode of Payment Cumulative Probability Probability 0.6 0.4 Random Number Interval Service Time 20 seconds 40 seconds 60 seconds 80 seconds Cash Service Time Probability 0.35 0.30 0.25 0.10 Cumulative Probability Random Number Interval (A) 6320 4630 8657 0030 5624 6728 5925 2829 7939 6476 Random Numbers 3319 8134 1712 6317 6605 2734 0432 3441 0726 6969 (B) 1094 7371 2809 5148 9115 1469 6480 2447 7031 8442 7387 1788 4891 1149 8822 9451 2990 8314 7176 2766 (C) 1995 7971 3554 6300 5495 5165 9339 6997 1443 3574 0150 0933 7082 5025 4081 4100 7190 6822 5053 8284 Random Arrival Random Mode of Random Service Customer Number Time Number Payment Number Time 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Service Time End Begins S Waiting Time Cash Credit Inter-arrival Time 30 seconds 60 seconds 90 seconds 120 seconds 150 seconds Inter-arrival time Probability 0.45 0.25 0.15 0.10 0.05 Cumulative Random Number Probability Interval Payment Mode Cash Credit Card Mode of Payment Cumulative Probability Probability 0.6 0.4 Random Number Interval Service Time 20 seconds 40 seconds 60 seconds 80 seconds Cash Service Time Probability 0.35 0.30 0.25 0.10 Cumulative Probability Random Number Interval (A) 6320 4630 8657 0030 5624 6728 5925 2829 7939 6476 Random Numbers 3319 8134 1712 6317 6605 2734 0432 3441 0726 6969 (B) 1094 7371 2809 5148 9115 1469 6480 2447 7031 8442 7387 1788 4891 1149 8822 9451 2990 8314 7176 2766 (C) 1995 7971 3554 6300 5495 5165 9339 6997 1443 3574 0150 0933 7082 5025 4081 4100 7190 6822 5053 8284 Random Arrival Random Mode of Random Service Customer Number Time Number Payment Number Time 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Service Time End Begins S Waiting Time Cash Credit

Answer rating: 100% (QA)

Cumulative probability is the sum probability of the two or more events simultaneouslyfor example in the Inter arrival time table the cumulative probability of service time in 60 seconds is the sum of ... View the full answer