Customers Enter the Waiting Line to Pay for Food as They

question 1

Multiple Choice

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?

• A)0.43
• B)0.57
• C)0.75
• D)0.25
• E)0.33

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Definitions:

Structures of Authority

The organized framework or system by which power and control are exercised in a society, organization, or group.

Obedient

Characterized by or displaying compliance with authority or rules, often following commands or instructions without question.

Disciplined

Having or demonstrating a controlled form of behavior or way of working, often characterized by adherence to a set of rules or a strict regimen.

Structures of Authority

The systems and frameworks within which power is distributed and exercised in an organization or society.