d) What is the average time a student is in the queue?e) What is the probability that there are no students at the computer lab?f) What percentage of the time is the help desk busy?g) What is the probability that there are exactly 2 students in the lab? Question 8.1The computer lab at State University has a help desk to assist students working on computerspreadsheet assignments. The students patiently form a single line in front of the desk to wait for help.Students are served based on a first-come, first-served priority rule. Students arrive at the help desk atthe rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution isappropriate for the arrival rate and service times are exponentially distributed.

Let’s consider 10 minutes as a unit of time Arrival rate (lambda) =4 every 10 minutes Service rate…

d) What is the average time a student is in the queue? e) What is the probability that there are no students at the computer lab? f) What percentage of the time is the help desk busy? g) What is the probability that there are exactly 2 students in the lab?

d) What is the average time a student is in the queue? e) What is the probability that there are no students at the computer lab? f) What percentage of the time is the help desk busy? g) What is the probability that there are exactly 2 students in the lab?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Concept explainers

Inventory Management

The supply chain is crucial to a firm's operations as it manages the inflow and outflow of products that are manufactured from the initial stage to the end product. It also considers the raw materials needed at different stages of production and when the work is in progress. Inventory management functions consist of ordering, storing, and procuring the organization's inventory like raw materials, factors, and finished products. It's also used for controlling the number of products for trade and helps manage the organization's inventory and stock. Inventory Management has been defined as having the right inventory, of the right volume, at the right cost.

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d) What is the average time a student is in the queue?
e) What is the probability that there are no students at the computer lab?
f) What percentage of the time is the help desk busy?
g) What is the probability that there are exactly 2 students in the lab?

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