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Customers Enter the Waiting Line to Pay for Food as They

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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,what proportion of the time is the server busy?


Definitions:

Culture

The set of social behaviors, practices, beliefs, and norms that characterize a group or society, passed down from generation to generation.

Emotions

Complex psychological states that involve a subjective experience, physiological response, and a behavioral or expressive response.

Cognition

The cognitive process of gaining knowledge and comprehension via reflection, experience, and sensory perception.

Schachter and Singer's Theory

A psychological theory suggesting that emotions are determined by physiological arousal and the cognitive interpretation of that arousal, emphasizing the role of environmental cues in identifying the type of emotion experienced.

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