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A Small Diner Has One Employee and a Counter with Seating

question 47

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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?


Definitions:

-oid

A suffix used in English to form adjectives or nouns indicating similarity or resemblance to something.

-al

a suffix denoting pertaining to or relating to something, often forming adjectives from nouns.

-ose

A suffix used in biochemistry to denote sugars or carbohydrates.

-osis

A suffix used in medical terminology to indicate a condition, disease, or increase.

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