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Consider a Single-Line, Single-Server Waiting Line System

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Consider a single-line, single-server waiting line system. Suppose that customers arrive according to a Poisson distribution at an average rate of 60 per hour, and the average (exponentially distributed) service time is 45 seconds per customer. What is the average utilization of the system?


Definitions:

Natural Causes

A term used to describe a death that results solely from an illness or internal malfunction of the body not directly influenced by external forces.

Negligence

Failure to take proper care in doing something, leading to damage or injury to another party.

Unconscionable

Describes something that is extremely unfair, unreasonable, or unethical, typically in the context of a contract or agreement.

Common Carrier

A service or company that is available to the public for transport of goods or people, under the regulation of governmental agencies.

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