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In a Bank Drive-Through, There Is a Single Service Window

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In a bank drive-through, there is a single service window and room only for two cars to line-up to wait for service. The mean time between arrivals for drive through customers is 5 minutes. The mean time to complete a customer transaction is 3 minutes. The number of arrivals is distributed according to a Poisson distribution and the service times are exponentially distributed.
-On average, how many customers are waiting to be served?


Definitions:

Single-Step Format

In accounting, a method of income statement preparation where expenses are subtracted from revenues in a single step to calculate net income.

Pretax Income

The income earned by a business before tax is deducted.

Extraordinary Loss

A loss resulting from events that are both unusual and infrequent in nature, not expected to recur in the foreseeable future.

Extraordinary Items

Events and transactions that are distinguished by their unusual nature and infrequency, reported separately in financial statements for clearer analysis.

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