Question

A small suburban post office is frequented by customers at the rate of 15 per hour. The post office has a single clerk who typically processes each customer's request at an average rate of 3 minutes per transaction. Assume that the arrival rate follows a Poisson distribution and service time follows an exponential distribution. What is the average number of customers in the system?

Name: a small suburban post office is frequented by customers at the rate of 15 per hour the post office has a single clerk who typically processes each customers request at an average rate of 3 m 81717
Uploaded: 2022-04-26T11:01:16-08:00
Duration: 49 s
Channel: Rashmi Sinha
Description: a small suburban post office is frequented by customers at the rate of 15 per hour the post office has a single clerk who typically processes each customers request at an average rate of 3 m 81717

          A small suburban post office is frequented by customers at the
rate of 15 per hour.  The post office has a single clerk who
typically processes each customer's request at an average rate of 3
minutes per transaction.  Assume that the arrival rate follows
a Poisson distribution and service time follows an exponential
distribution. 
What is the average number of customers in the
system?

Added by Mary B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Rashmi Sinha

04/26/2022

Step 1

Given: λ = 15 customers per hour μ = 60 minutes / 3 minutes per customer = 20 customers per hour Show more…

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A small suburban post office is frequented by customers at the rate of 15 per hour. The post office has a single clerk who typically processes each customer's request at an average rate of 3 minutes per transaction. Assume that the arrival rate follows a Poisson distribution and service time follows an exponential distribution. What is the average number of customers in the system?