In a Bank Drive-Through, There Is a Single Service Window

question 68

Short Answer

In a bank drive-through, there is a single service window and room only for two cars to line-up to wait for service. The mean time between arrivals for drive through customers is 5 minutes. The mean time to complete a customer transaction is 3 minutes. The number of arrivals is distributed according to a Poisson distribution and the service times are exponentially distributed.
-On average, how many cars are in the system?

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Definitions:

Distributive Assumption

In decision-making and economic theory, the assumption concerning how resources or wealth are distributed among members of a society.

Gaining Party

The entity in a transaction or situation that achieves an advantage or benefit.

Non-rational Escalation

The phenomenon where individuals or organizations continue to invest in a decision despite evidence of its ineffectiveness, often due to emotional or psychological commitments.

Ego

An individual’s sense of self-esteem or self-importance, which influences their thoughts and behaviors.