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

question 32

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.
-What is the average time a customer spends in the line waiting to be served?

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Definitions:

Density

The mass of a substance per unit volume, often used to describe the compactness of materials in physics and earth sciences.

Seismic Waves

Waves of energy that travel through the Earth, often as a result of earthquakes, which can provide information about Earth's internal structure.

Gravity

The force of attraction by which terrestrial bodies tend to fall towards the center of the Earth.

Density

A measure of mass per unit of volume, indicating how compact a substance is.