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For a Single-Server, Single-Line, Single-Phase Waiting Line System, Where

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For a single-server, single-line, single-phase waiting line system, where represents the mean arrival rate of customers and represents the mean service rate, what is the formula for the average number of customers waiting in line?


Definitions:

Risk Averter

An individual who prefers outcomes that are certain over those with any level of risk, usually willing to accept lower returns to avoid uncertainty.

Expected Value

A calculated average outcome of a random variable, considering all possible outcomes and their probabilities.

Natural Log

A logarithm to the base e (where e is approximately 2.71828), used extensively in mathematical, economic, and scientific applications.

Risk Averter

An individual or entity that prefers to avoid uncertainty and potential losses when making investment or financial decisions.

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