2 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.?

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TABLE 12 Time 11 A.M.-noon Noon-1 P.M. 1 P.M.-2 P.M. Hourly Arrival Rate 80 125 110 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