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Simulation Problem - The service time at an inspection station is defined by the following distribution

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The service time at an inspection station is defined by the following distribution.

Service time(min) Probability Cum. Prob. RN Range
35 0.10 ? ?
45 0.20 ? ?
55 0.30 ? ?
65 0.25 ? ?
75 0.10 ? ?
85 0.05 ? ?

a. Develop a discrete function (cumulative probabilities and random number range)- fill out the table

b. Use the following random numbers to simulate the service time of 5 Customers: 0.88, 0.21, 0.09, 0.48, 0.74. Show how you found these simulated times.

C. What is the average service time?

d. Using the service times generated at part b for the two customers, if the inter-arrival time is 10 minutes, find Time in System for the first customer. Then, find time in System for the 2nd customer. Show the formulations and the values. Note:(to find Time in System, you need to show inter-arrival time, arrival time, service start time, wait time, service time, completion times as well)

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The service time at an inspection station is defined by the following distribution.

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