A Post Office Has a Single Line for Customers Waiting

question 58

Multiple Choice

A post office has a single line for customers waiting for the next available postal clerk.There are two postal clerks who work at the same rate.The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution.The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks.What proportion of time are both clerks idle?

• A)0.643
• B)0.250
• C)0.750
• D)0.143

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Definitions:

Common Stock

A form of corporate equity ownership, a type of security that represents ownership in a corporation and a claim on a part of the corporation's profits.

Current Ratio

An indicator of a company's capability to cover its short-term liabilities with assets that can be quickly converted to cash.

Liquidity

A measure of how quickly and easily assets can be converted into cash without significantly impacting their value.

Par Value

a nominal value assigned to a share of stock or a bond, often used in legal documents.