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A Small Diner Has One Employee and a Counter with Seating

question 11

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A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.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 average number of customers in the diner?

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Definitions:

Role Conflict

A situation in which there are incompatible demands placed upon a person relating to their job or social roles, causing stress or conflict.

Incompatible

Not able to exist or work together without conflict or problems due to differences.

Contradictory

Involving elements or statements that are in opposition and cannot both be true or accepted in the same context.

Role Overload

A state in which too many expectations or demands are placed on a person.

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