The right to vote (and not to wait) 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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The right to vote (and not to wait)

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.

 

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Follow-up Question

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.
Q2. Under Proposal 1, how long on average would a voter have to wait in line at
precinct A in 2008 before casting her/his vote? 

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