Twelve customers arrive every hour (Poisson distributed) at Andy Johnson's food truck when it parks outside the Orlando Courthouse from 11-2 p.m. on weekdays. It takes Andy a mean time of 4 minutes to fill each order (following a negative exponential distribution). The Waiting La Line Table is provided below and also we know that W₁= Table: Average Number of Customer in Waiting Line P .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 55 .60 .65 .70 .75 .80 .85 .90 .95 1.0 1.2 1.4 1.6 1.8 2.0 Poisson Arrivals, Exponential Service Times Number of Service Channels, M 2 3 4 1 .0111 .0264 .0500 .0833 .1285 .1884 2666 .3681 .5000 .6722 3000 .6722 .9000 1.2071 1.6333 2.2500 3.2000 4.8166 8.1000 18.0500 .0008 .0020 .0039 .0069 .0110 .0166 .0239 .0333 .0449 0333 .0449 .0593 .0767 .0976 .1227 .1523 .1873 .2285 .2767 .3333 .6748 1.3449 2.8444 7.6734 .0019 .0030 .0043 0030 .0043 .0061 .0084 .0112 .0147 .0189 .0239 0300 .0371 .0454 .0904 .1778 .3128 .5320 .8888 .0031 .0041 .0053 .0067 .0158 .0324 .0604 .1051 .1739 a) What is the average number of customers in the queue? Using the table, the average number of customers in the queue is response to four decimalplaces). 5 .0059 .0121 .0227 .0398 customers (round your

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Twelve customers arrive every hour (Poisson distributed) at Andy Johnson's food truck when it parks outside the Orlando Courthouse from
11-2 p.m. on weekdays. It takes Andy a mean time of 4 minutes to fill each order (following a negative exponential distribution). The Waiting
La
λ
Line Table is provided below and also we know that W₁ =
Table: Average Number of Customer in Waiting Line
P
.10
.15
.20
.25
.30
.35
.40
.45
.50
.55
.30
.55
60
.65
.70
.75
.80
.85
.90
.95
1.0
1.2
1.4
1.6
1.8
2.0
Poisson Arrivals, Exponential Service Times
Number of Service Channels, M
2
3
4
1
.0111
.0264
.0500
.0833
.1285
.1884
.2666
.3681
.5000
.6722
3000
.6722
.9000
1.2071
1.6333
2.2500
3.2000
4.8166
8.1000
18.0500
.0008
.0020
.0039
.0069
.0110
.0166
.0239
.0333
.0449
0333
.0449
.0593
.0767
.0976
.1227
.1523
.1873
2285
.2767
.3333
.6748
1.3449
2.8444
7.6734
.0019
.0030
.0043
0030
.0043
.0061
.0084
.0112
.0147
.0189
0239
.0300
.0371
.0454
.0904
.1778
.3128
.5320
.8888
.0031
.0041
.0053
.0067
.0158
.0324
.0604
.1051
.1739
a) What is the average number of customers in the queue?
Using the table, the average number of customers in the queue is
response to four decimalplaces).
5
.0059
.0121
.0227
.0398
customers (round your
Transcribed Image Text:Twelve customers arrive every hour (Poisson distributed) at Andy Johnson's food truck when it parks outside the Orlando Courthouse from 11-2 p.m. on weekdays. It takes Andy a mean time of 4 minutes to fill each order (following a negative exponential distribution). The Waiting La λ Line Table is provided below and also we know that W₁ = Table: Average Number of Customer in Waiting Line P .10 .15 .20 .25 .30 .35 .40 .45 .50 .55 .30 .55 60 .65 .70 .75 .80 .85 .90 .95 1.0 1.2 1.4 1.6 1.8 2.0 Poisson Arrivals, Exponential Service Times Number of Service Channels, M 2 3 4 1 .0111 .0264 .0500 .0833 .1285 .1884 .2666 .3681 .5000 .6722 3000 .6722 .9000 1.2071 1.6333 2.2500 3.2000 4.8166 8.1000 18.0500 .0008 .0020 .0039 .0069 .0110 .0166 .0239 .0333 .0449 0333 .0449 .0593 .0767 .0976 .1227 .1523 .1873 2285 .2767 .3333 .6748 1.3449 2.8444 7.6734 .0019 .0030 .0043 0030 .0043 .0061 .0084 .0112 .0147 .0189 0239 .0300 .0371 .0454 .0904 .1778 .3128 .5320 .8888 .0031 .0041 .0053 .0067 .0158 .0324 .0604 .1051 .1739 a) What is the average number of customers in the queue? Using the table, the average number of customers in the queue is response to four decimalplaces). 5 .0059 .0121 .0227 .0398 customers (round your
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