In two recent presidential elections in the United States, very long wait times have been witnessed...

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In two recent presidential elections in the United States, very long wait times have been witnessed at precincts (voting stations) in states that ultimately decided the election (Pennsylvania in 2016 and Georgia in 2020). In Durham as well, some voters complained about the long lines in 2020 with most complaints coming from precinct A. In 2020, the average number of voters arriving at precinct A was 35 per hour, and the arrivals occurred according to a Poisson process. Durham deployed one voting machine in Precinct A in 2020. Suppose that each voter spent on average 100 seconds in the voting booth (this is the time needed to cast their vote using a voting machine), with a standard deviation of 120 seconds. Q 23 24 25 What was the average number of voters waiting in line before entering a voting booth at Precinct A in 2020 (i.e., E[Lq])? Type your answer.... 1 point What was the probability that a voter had to spend more than 60 minutes total (including time waiting in line and time voting) at Precinct A in 2020 (i.e., Pr (W>60min))? State your answer as a percentage, e.g.. 50 (for 50% probability). Type your answer... 1 point Given the long wait times for Precinct A, the city of Durham is thinking of deploying an additional voting machine, identical to the first machine, in Precinct A to improve voting conditions in 2024. Assume that the voter turnout is expected to have the same characteristics in 2024 as in 2020 and that voters will form a single queue for the two machines. What will the utilization (i.e., p) of Precinct A's voting machines be in 2024? State your answer as a percentage, e.g., 50 (for 50% utilization). Type your answer... 1.5 points With two machines, how long on average would a voter have to wait in line (in minutes) in Precinct A in 2024 before casting his/her vote (i.e., E[W]), assuming that CA and Cs are the same as in 2020? In two recent presidential elections in the United States, very long wait times have been witnessed at precincts (voting stations) in states that ultimately decided the election (Pennsylvania in 2016 and Georgia in 2020). In Durham as well, some voters complained about the long lines in 2020 with most complaints coming from precinct A. In 2020, the average number of voters arriving at precinct A was 35 per hour, and the arrivals occurred according to a Poisson process. Durham deployed one voting machine in Precinct A in 2020. Suppose that each voter spent on average 100 seconds in the voting booth (this is the time needed to cast their vote using a voting machine), with a standard deviation of 120 seconds. Q 23 24 25 What was the average number of voters waiting in line before entering a voting booth at Precinct A in 2020 (i.e., E[Lq])? Type your answer.... 1 point What was the probability that a voter had to spend more than 60 minutes total (including time waiting in line and time voting) at Precinct A in 2020 (i.e., Pr (W>60min))? State your answer as a percentage, e.g.. 50 (for 50% probability). Type your answer... 1 point Given the long wait times for Precinct A, the city of Durham is thinking of deploying an additional voting machine, identical to the first machine, in Precinct A to improve voting conditions in 2024. Assume that the voter turnout is expected to have the same characteristics in 2024 as in 2020 and that voters will form a single queue for the two machines. What will the utilization (i.e., p) of Precinct A's voting machines be in 2024? State your answer as a percentage, e.g., 50 (for 50% utilization). Type your answer... 1.5 points With two machines, how long on average would a voter have to wait in line (in minutes) in Precinct A in 2024 before casting his/her vote (i.e., E[W]), assuming that CA and Cs are the same as in 2020?

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The average number of voters waiting in line before entering a voting booth at Precinct A in 2020 ca... View the full answer