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Customers Enter the Waiting Line to Pay for Food as They

question 61

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Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come,first-served basis.The arrival rate follows a Poisson distribution,while service times follow an exponential distribution.If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute,on average,how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria?

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Definitions:

Linguistics

The scientific study of language and its structure, including the study of morphology, syntax, phonetics, and semantics.

Sociolinguistics

The study of how language functions within society, including its variations and social uses across different groups.

Indigenous Languages

The first languages used by the original inhabitants of a region, which are part of their cultural heritage.

Colonialism

The policy or practice of acquiring full or partial political control over another country, occupying it with settlers, and exploiting it economically.

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