A Small Diner Has One Employee and a Counter with Seating

question 15

Multiple Choice

A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for take out.Customers arrive at the diner at the rate of 20 per hour Poisson distributed) .Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is thehe probability that the diner is full and an arriving customer does not enter?

• A)0.8333
• B)0.1667
• C)0.2067
• D)0.0481

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Definitions:

Schemas

Cognitive frameworks or structures that help organize and interpret information based on past experiences and knowledge.

Information Gathering

The process of obtaining data, facts, or feedback from various sources to support decision-making, research, or problem-solving.

Self-Fulfilling Prophecy

The phenomenon whereby initially false expectations cause the fulfillment of those expectations.

Initially False Expectations

Expectations that start off as incorrect but may change over time as new information is acquired.