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:

Basilar Membrane

A structure in the cochlea of the inner ear that oscillates in response to sound waves, critical for hearing.

Cochlear Fluid

The liquid found within the cochlea of the ear, crucial for the transmission of sound vibrations to generate nerve impulses.

Cilia

Small, hair-like structures on the surface of cells, involved in movement and sensory processes.

Basilar Membrane

A structure in the cochlea of the inner ear that plays a crucial role in the sense of hearing by vibrating in response to sound, thereby aiding in sound wave translation.