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 toserve each arrival. Assume this is a simple Poisson arrival, exponentially distributedservice time situation. Use Exhibit 10.9.a-1. As a casual observer, how many people would you expect to see in the cameradepartment (excluding the clerk)? (Round your answer to 2 decimal places.)Number of peoplea-2. How long would a customer expect to spend in the camera department (total time)?(Round your answer to 1 decimal place.)Average total timeb. What is the utilization of the clerk? (Round your answer to 1 decimal place.)Utilizationminutesc. What is the probability that there are more than two people in the cameradepartment (excluding the clerk)? (Round your intermediate calculations to 3decimal places and final answer to 1 decimal place.)Probability%d. Another clerk has been hired for the camera department who also takes an averageof five minutes to serve each arrival. How long would a customer expect to spend inthe department now? (Round your answer to 1 decimal place.)Average total timeminutes

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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.2: Representing Data

Problem 14PPS

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Question

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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