A Small Diner Has One Employee and a Counter with Seating

question 34

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 the 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:

Orbicularis Oculi

A facial muscle that encircles the eye socket and is responsible for closing the eyelids.

Orbicularis Oris

A complex of muscles in the lips that encircles the mouth, involved in controlling movements of the mouth and lips.

Frontalis

A facial muscle that lifts the eyebrows and causes wrinkles on the forehead, being part of the occipitofrontalis muscle.

Zygomaticus

A muscle of the face, which draws the angle of the mouth superiorly and posteriorly to allow for smiling.