The Local Grocery Store Consists of Two Cashiers

question 65

Short Answer

The local grocery store consists of two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between the arrivals of successive customers is 3 minutes. Assume that customers equally divide themselves between the two cashiers.
-On average, how much time will the customer spend in line waiting to be served?

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Definitions:

Causal

Relating to or acting as a cause for something, indicating a relationship where one event or action leads to the occurrence of another.

Experimental

Relating to a method of inquiry in sciences that involves controlled testing of hypotheses to establish cause-and-effect relationships.

Observational

Relating to the method of gaining knowledge by watching and analyzing without direct involvement or interference.

Scientific Method

The process of forming and answering questions using systematic observations and gathering information.