There is only one copying machine in the student lounge of the business school. Students arrive at the rate of  λ=40 per hour​ (according to a Poisson​ distribution). Copying takes an average of 40 ​seconds, or μ=90 per hour​ (according to a negative exponential​ distribution).  ​a) The percentage of time the machine is used​ = 4444  percent​ (round your response to the nearest whole​ number). ​The average length of the queue​ = 35.35 students​ (round your response to two decimal​ places).The average number of students in the system​ = 0.80 students​ (round your response to two decimal​ places).The average time spent waiting in the queue​ = 0.53minutes​ (round your response to two decimal​ places). The average time in the system​ =   minutes​ (round your response to two decimal​ places).

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
icon
Related questions
Question

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of  λ=40 per hour​ (according to a Poisson​ distribution). Copying takes an average of 40 ​seconds, or μ=90 per hour​ (according to a negative exponential​ distribution).  ​a) The percentage of time the machine is used​ = 4444  percent​ (round your response to the nearest whole​ number). ​The average length of the queue​ = 35.35 students​ (round your response to two decimal​ places).The average number of students in the system​ = 0.80 students​ (round your response to two decimal​ places).The average time spent waiting in the queue​ = 0.53minutes​ (round your response to two decimal​ places). The average time in the system​ =   minutes​ (round your response to two decimal​ places).

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Process selection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, management and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Understanding Business
Understanding Business
Management
ISBN:
9781259929434
Author:
William Nickels
Publisher:
McGraw-Hill Education
Management (14th Edition)
Management (14th Edition)
Management
ISBN:
9780134527604
Author:
Stephen P. Robbins, Mary A. Coulter
Publisher:
PEARSON
Spreadsheet Modeling & Decision Analysis: A Pract…
Spreadsheet Modeling & Decision Analysis: A Pract…
Management
ISBN:
9781305947412
Author:
Cliff Ragsdale
Publisher:
Cengage Learning
Management Information Systems: Managing The Digi…
Management Information Systems: Managing The Digi…
Management
ISBN:
9780135191798
Author:
Kenneth C. Laudon, Jane P. Laudon
Publisher:
PEARSON
Business Essentials (12th Edition) (What's New in…
Business Essentials (12th Edition) (What's New in…
Management
ISBN:
9780134728391
Author:
Ronald J. Ebert, Ricky W. Griffin
Publisher:
PEARSON
Fundamentals of Management (10th Edition)
Fundamentals of Management (10th Edition)
Management
ISBN:
9780134237473
Author:
Stephen P. Robbins, Mary A. Coulter, David A. De Cenzo
Publisher:
PEARSON