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A Post Office Has a Single Line for Customers Waiting

question 104

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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.How long does the average person spend waiting for a clerk?

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Definitions:

Instincts

Innate, fixed patterns of behavior in animals and humans in response to stimuli, which are not learned and are often survival-oriented.

Observational Learning

The process of learning behaviors by watching and imitating others, also known as social learning or modeling.

Congruence

In psychology, the alignment or agreement between an individual's self-concept and their actual experiences.

Positive Reinforcement

A behavioral strategy involving the introduction of a desirable stimulus following a behavior to increase the likelihood of its recurrence.

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