An airline company has 4 phone lines. If the time between calls averages 3 minutes. Use Table 17A.1. Round your answer to four decimal places. What is the probability that all lines are busy if an average call lasts 6 minutes? 1.5000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 17P
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An airline company has 4 phone lines. If the time between calls averages 3 minutes. Use Table 17A.1.
Round your answer to four decimal places.
What is the probability that all lines are busy if an average call
lasts 6 minutes?
1.5000
Transcribed Image Text:An airline company has 4 phone lines. If the time between calls averages 3 minutes. Use Table 17A.1. Round your answer to four decimal places. What is the probability that all lines are busy if an average call lasts 6 minutes? 1.5000
= p/a
2
3.
0.10
.0909
.0045
.0002
.0000
.0000
.0000
0.20
.1667
0164
.0011
.0001
.0000
.0000
0.25
2000
.0244
.0020
.0001
.0000
.0000
0.30
2308
0335
0033
.0003
.0000
0000
0.33
2500
.0400
.0044
.0004
.0000
0000
0.40
2857
0541
.0072
.0007
.0001
.0000
0.50
3333
0769
.0127
00 16
.0002
.0000
0.60
3750
1011
0198
.0030
0004
0000
0.67
.4000
1176
.0255
0042
.0006
0001
0.70
.4118
1260
0286
0050
0007
0001
0.75
4286
1385
0335
0062
.0009
0001
0.80
.4444
1509
0387
0077
.0012
0002
0.90
4737
.1757
0501
0111
.0020
.0003
1.00
5000
2000
.0625
0154
.0031
.0005
1.10
5238
2237
0758
.0204
.0045
0008
1.20
.5455
2466
0898
0262
L0063
0012
1.25
.5556
2577
0970
0294
.0073
.0015
1.33
.5714
2759
1092
0351
.0093
.0021
1.40
5833
2899
1192
0400
.0111
0026
1.50
.6000
3103
1343
0480
.0142
0035
Transcribed Image Text:= p/a 2 3. 0.10 .0909 .0045 .0002 .0000 .0000 .0000 0.20 .1667 0164 .0011 .0001 .0000 .0000 0.25 2000 .0244 .0020 .0001 .0000 .0000 0.30 2308 0335 0033 .0003 .0000 0000 0.33 2500 .0400 .0044 .0004 .0000 0000 0.40 2857 0541 .0072 .0007 .0001 .0000 0.50 3333 0769 .0127 00 16 .0002 .0000 0.60 3750 1011 0198 .0030 0004 0000 0.67 .4000 1176 .0255 0042 .0006 0001 0.70 .4118 1260 0286 0050 0007 0001 0.75 4286 1385 0335 0062 .0009 0001 0.80 .4444 1509 0387 0077 .0012 0002 0.90 4737 .1757 0501 0111 .0020 .0003 1.00 5000 2000 .0625 0154 .0031 .0005 1.10 5238 2237 0758 .0204 .0045 0008 1.20 .5455 2466 0898 0262 L0063 0012 1.25 .5556 2577 0970 0294 .0073 .0015 1.33 .5714 2759 1092 0351 .0093 .0021 1.40 5833 2899 1192 0400 .0111 0026 1.50 .6000 3103 1343 0480 .0142 0035
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,