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Twelve Customers Arrive at the Lunch Counter at George's Happy

question 8

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Twelve customers arrive at the lunch counter at George's Happy Hog per hour and select the hickory smoked meat du jour along with a side and soda for $5. The server doubles as the cashier and can take and fill an order in three minutes on average. What is the lowest number n such that the likelihood of n or more customers in line and receiving service is 0? Assume that the arrival and service times can be assumed as exponentially distributed.


Definitions:

Confront

To face or engage with someone or something in opposition or challenge.

Victims

People or groups that endure suffering, damage, or injustice due to others' actions, often requiring protection or restitution.

Rural Areas

Regions located outside towns and cities, often characterized by lower population density and agricultural or natural landscapes.

Robberies

The act of taking property unlawfully from a person or place by force or threat of force.

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