6. For the six customers simulated above, what is the average waiting time? 7. If the random number generated for the inter arrival time for the 7th customer is 88, then when will the 7th customer arrive?

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6. For the six customers simulated above, what is the average waiting time?
7. If the random number generated for the inter arrival time for the 7th customer is 88, then
when will the 7th customer arrive?
Transcribed Image Text:6. For the six customers simulated above, what is the average waiting time? 7. If the random number generated for the inter arrival time for the 7th customer is 88, then when will the 7th customer arrive?
The manager of a small post office is concerned that the growing township is overloading the
one-window service being offered. Sample data are collected on 100 individuals who arrive for
service:
Inter arrival time
(Time between
Arrivals)
(minutes)
Frequency
1
8.
2
35
3
40
4
17
Service Time
(minutes)
Frequency
1
12
21
3
41
4
26
Using the following random number sequence, simulate six arrivals, assume the first arrival is
time 0.
RN for arrivals: 08, 74, 24, 34, 45, 86
RN for service time: 31, 32, 45, 53, 78, 67
(Note: we don't need to use the random number 08 for first arrival, since we assume the first
arrival is time 0)
1. At what time will the second customer arrive?
2. What is the time required to serve the third customer?
3. When does the operator begin processing the fourth customer?
4. How long does the fifth customer wait in line?
5. When the sixth customer arrives, will the customer get served right away? Simply answer
Yes or No.
Transcribed Image Text:The manager of a small post office is concerned that the growing township is overloading the one-window service being offered. Sample data are collected on 100 individuals who arrive for service: Inter arrival time (Time between Arrivals) (minutes) Frequency 1 8. 2 35 3 40 4 17 Service Time (minutes) Frequency 1 12 21 3 41 4 26 Using the following random number sequence, simulate six arrivals, assume the first arrival is time 0. RN for arrivals: 08, 74, 24, 34, 45, 86 RN for service time: 31, 32, 45, 53, 78, 67 (Note: we don't need to use the random number 08 for first arrival, since we assume the first arrival is time 0) 1. At what time will the second customer arrive? 2. What is the time required to serve the third customer? 3. When does the operator begin processing the fourth customer? 4. How long does the fifth customer wait in line? 5. When the sixth customer arrives, will the customer get served right away? Simply answer Yes or No.
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