Customers Enter the Waiting Line at a Cafeteria on a First-Come,first-Served

question 110

Multiple Choice

Customers enter the waiting line at 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 is the average number of customers in the system?

• A)0.43
• B)1.67
• C)0.57
• D)1.33
• E)None of the above

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Definitions:

Illness

A state of poor health, either physically or mentally, often characterized by symptoms or dysfunction.

Animals

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Applied Behavior Analysis

A therapy based on the science of learning and behavior, aiming to improve specific behaviors and skills through reinforcement techniques.

Positive Reinforcements

A process in behaviorism where a behavior is strengthened and more likely to be repeated by following it with a desirable outcome or reward.