Customers enter the camera department of a store at the average rate of five per hour. The department is staffed by one employee, who takes an average of 4.0 minutes to erve each arrival. Assume this is a simple Poisson arrival, exponentially distributed -ervice time situation. Use Exhibit 10.9.

MATLAB: An Introduction with Applications
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Customers enter the camera department of a store at the average rate of five per hour.
The department is staffed by one employee, who takes an average of 4.0 minutes to
serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed
service time situation. Use Exhibit 10.9.
a-1. As a casual observer, how many people would you expect to see in the camera
department (excluding the clerk)? (Round your answer to 2 decimal places.)
Number of people
a-2. How long would a customer expect to spend in the camera department (total time)?
(Round your answer to 1 decimal place.)
Average total time
b. What is the utilization of the clerk? (Round your answer to 1 decimal place.)
Utilization
minutes
c. What is the probability that there are more than two people in the camera
department (excluding the clerk)? (Round your intermediate calculations to 3
decimal places and final answer to 1 decimal place.)
Probability
%
d. Another clerk has been hired for the camera department who also takes an average
of five minutes to serve each arrival. How long would a customer expect to spend in
the department now? (Round your answer to 1 decimal place.)
Average total time
minutes
Transcribed Image Text:Customers enter the camera department of a store at the average rate of five per hour. The department is staffed by one employee, who takes an average of 4.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. Use Exhibit 10.9. a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your answer to 2 decimal places.) Number of people a-2. How long would a customer expect to spend in the camera department (total time)? (Round your answer to 1 decimal place.) Average total time b. What is the utilization of the clerk? (Round your answer to 1 decimal place.) Utilization minutes c. What is the probability that there are more than two people in the camera department (excluding the clerk)? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) Probability % d. Another clerk has been hired for the camera department who also takes an average of five minutes to serve each arrival. How long would a customer expect to spend in the department now? (Round your answer to 1 decimal place.) Average total time minutes
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