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A Post Office Has a Single Line for Customers Waiting

question 58

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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?


Definitions:

Cognitive Dissonance

State of psychological tension produced by simultaneously having two opposing cognitions. People are motivated to reduce the tension, often by changing or rejecting one of the cognitions. Festinger proposed that we seek harmony in our attitudes, beliefs and behaviours and try to reduce tension from inconsistency among these elements.

Japanese Participants

Individuals from Japan taking part in an activity, study, or event.

American Participants

A term often used in research studies indicating the individuals taking part in the study are from the United States.

Social Cues

Nonverbal or environmental signals that are interpreted by individuals to guide their social interactions.

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