In Kenya’s 9 August 2022 General Elections, voters arriving at Changamwe Constituency’s Port Reitz’s polling  station were seen to follow a pattern. These voters arrived early to cast their votes and were cleared for the  exercise. In voting stream 3, a sample of the early rising voters were sampled and seen to follow the pattern below:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In Kenya’s 9 August 2022 General Elections, voters arriving at Changamwe Constituency’s Port Reitz’s polling  station were seen to follow a pattern. These voters arrived early to cast their votes and were cleared for the  exercise. In voting stream 3, a sample of the early rising voters were sampled and seen to follow the pattern below:

Inter-Arrival
Time (Minutes)
1.0452
0.9838
1.5661
1.4868
1.7563
1.0177
1.3243
1.0873
1.4763
1.5981
2.1919
1.0552
Inter-Service
intervals (Minutes)
0.9957
1.5220
1.5497
1.3262
1.1836
0.8897
0.6150
1.5893
1.2532
1.6412
1.7216
1.2544
Transcribed Image Text:Inter-Arrival Time (Minutes) 1.0452 0.9838 1.5661 1.4868 1.7563 1.0177 1.3243 1.0873 1.4763 1.5981 2.1919 1.0552 Inter-Service intervals (Minutes) 0.9957 1.5220 1.5497 1.3262 1.1836 0.8897 0.6150 1.5893 1.2532 1.6412 1.7216 1.2544
a) Complete the simulation table accordingly.
b) Assume a M/M/1 queue configuration, define the
following:
i). The average time a voter spends waiting to vote.
ii). The fraction of the time the voting clerk spends idling.
iii). The probability of a voter waiting to vote.
iv). The average waiting time for voters who wait.
Transcribed Image Text:a) Complete the simulation table accordingly. b) Assume a M/M/1 queue configuration, define the following: i). The average time a voter spends waiting to vote. ii). The fraction of the time the voting clerk spends idling. iii). The probability of a voter waiting to vote. iv). The average waiting time for voters who wait.
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