The right to vote $($and not to wait$)$

Four questions.

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.

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.

Q$4.$ Suppose Proposal $1$ is rejected and that only one machine will be deployed in

precinct A$.$ As a sign of protest, voters at precinct A decide to adopt the following

rule: if the voting machine is busy, the voter will not vote and will leave $($and not

vote at all$).$ What is the expected number of people who will end up voting on

election day in precinct A$?($Assume that the voting station accepts voters for $12$

hours from $8$:$00$ am to $8$:$00$ pm$).$ Choose the correct alternative.

a$.$ Less than $50$

b$.$ Between $50$ and $100$

c$.$ Between $100$ and $150$

d$.$ Between $150$ and $250$

e$.$ Between $250$ and $350$

f$.$ Between $350$ and $450$

g$.$ Between $450$ and $500$

h$.$ More than $500$

i$.$ There is not sufficient information to answer the question