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

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)

#### Solution Summary

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

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