a voting machine), with a standard deviation of 120 seconds.  Given the long wait times for Precinct A, the city of Philadelphia is thinking of alternative solutions to improve voting conditions. One of the proposed solutions is as follows. Proposal 1: Deploy an additional voting machine to precinct A. Assume that the voter turnout is expected to have similar characteristics in 2008 as in the previous election.   Question.   Under Proposal 1, at precinct A, what would be the ratio of the average number of people voting (at a booth) over the average number of people in the line (waiting)?

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In the past decade, two presidential elections in the United States have witnessed very long wait times at precincts (voting stations) in states that ultimately decided the election (Florida in 2000 and Ohio in 2004). In Philadelphia as well, some voters complained about the long lines in some precincts, with most complaints coming from precinct A. In 2004, the average number of voters arriving at Precinct A was 35 per hour and the arrivals of voters was random with inter-arrival times that had a coefficient of variation of 1 (CVa=1). Philadelphia deployed 1 voting machine in Precinct A. Suppose that each voter spent on average 100 seconds in the voting booth (this is the time needed to cast her/his vote using a voting machine), with a standard deviation of 120 seconds. 

Given the long wait times for Precinct A, the city of Philadelphia is thinking of alternative solutions to improve voting conditions. One of the proposed solutions is as follows.
Proposal 1: Deploy an additional voting machine to precinct A. Assume that the voter turnout is expected to have similar characteristics in 2008 as in the previous election.

 

Question.  
Under Proposal 1, at precinct A, what would be the ratio of the average number of people voting (at a booth) over the average number of people in the line (waiting)?

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Im a little confused on how you got 115.77 seconds as the average amout of people waiting in line?

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