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
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
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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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