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.
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.
4 P.M.–5 P.M.
70
5 P.M.–6 P.M.
100
What is the probability that all voting will be completed by 6:30 P.M.?
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