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# Probability and Quantitative Decision Making

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Patrons arrive at the Dog patch post office at the rate of 30 per hour. There is one clerk on duty, who takes an average of 1 minute to serve each customer. Service times are approximately exponential.

a) Calculate the mean customer line (1) spent waiting in line and (2) spent receiving or waiting for service. Also find the mean number for customers (3) in line and (4) receiving or waiting for service.
b) Construct the probability distribution for the number of customers inside the post office (stopping at that n where the probability rounds to zero to two decimal places.

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Chapter 17 Waiting Lines (Queues)

17-2

Patrons arrive at the Dog patch post office at the rate of 30 per hour. There is one clerk on duty, who takes an average of 1 minute to serve each customer. Service times are approximately exponential. ...

#### Solution Summary

This solution models the waiting line scenario with an exponential distribution to determine the mean customers in the line, total customers in system, spent waiting in line and receiving service. It also constructs a probability distribution for the model.

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