The polls are open in Gotham City from 11 A.M. to6 P.M. The city has 3 voting machines. It takes an average of 1.5 minutes (exponentially distributed) for a voter tocomplete voting. The arrival rate of voters throughout theday is as shown in Table 12. What is the probability that allvoting will be completed by 6:30 P.M.? Time Hourly Arrival Rate11 A.M.–noon 80Noon–1 P.M. 1251 P.M.–2 P.M. 1102 P.M.–3 P.M. 903 P.M.–4 P.M. 804 P.M.–5 P.M. 705 P.M.–6 P.M. 100

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The polls are open in Gotham City from 11 A.M. to
6 P.M. The city has 3 voting machines. It takes an average

of 1.5 minutes (exponentially distributed) for a voter to
complete voting. The arrival rate of voters throughout the
day is as shown in Table 12. What is the probability that all
voting will be completed by 6:30 P.M.?

Time Hourly Arrival Rate
11 A.M.–noon 80
Noon–1 P.M. 125
1 P.M.–2 P.M. 110
2 P.M.–3 P.M. 90
3 P.M.–4 P.M. 80
4 P.M.–5 P.M. 70
5 P.M.–6 P.M. 100

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