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# Discrete Probability Distribution for Hand Simulations

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8. Perform a hand simulation for the first three customers to arrive at a ticket booth to purchase a ticket. Discrete probability distributions for the two uncertain events are presented below in one minute intervals. Assume the ticket booth opens at 7:00 AM. Assume two digit numbers were selected from a table of random numbers. The randomly selected numbers for the time between arrivals are 66, 15, and 43. The randomly selected numbers for the service times are 84, 83, and 16.

Time Between Arrivals
TBA Probability Random Number
1 minute .20 01 to
2 .40
3 .25
4 .15 to 00

Service Times
ST Probability Random Number
1 minute .20 01 to
2 .30
3 .35
4 .15 to 00

Customer
Number Random Number Time Between Arrivals Clock time @ Arrival Clock @ Start of Service Random Number Service Time Clock @ end of Service Waiting Time
7:00 AM

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