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Discuss the application of Little's Law in two scenarios: one involving a voting facility and another illustrating its application.

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Final answer:

Little's Law is a mathematical formula used to analyze queuing systems. It can be applied to scenarios such as a voting facility and a store to determine the average number of people in the system based on arrival rate and average time spent.

Step-by-step explanation:

Little's Law is a mathematical formula used to analyze queuing systems. It states that the average number of people in a system (L), the arrival rate of people to the system (λ), and the average time a person spends in the system (W), are related by the equation L = λW.

In the scenario of a voting facility, Little's Law can be applied to analyze the average number of voters in the facility, the arrival rate of voters, and the average time a voter spends at the facility. For example, if the voting facility processes 100 voters per hour (λ) and the average time a voter spends at the facility is 10 minutes (W), Little's Law can be used to determine the average number of voters in the facility at any given time (L).

In another scenario, Little's Law can be applied to analyze the average number of customers in a store, the arrival rate of customers, and the average time a customer spends in the store. This can help businesses optimize staffing levels and improve customer service.

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