Students arrive at the Administrative Services Office at an average of one every 20 minutes, and their...

90.2K

Verified Solution

Question

General Management

Students arrive at theAdministrative Services Office at an average of one every 20minutes, and their requests take on average 16 minutes to beprocessed. The service counter is staffed by only one clerk, JudyGumshoes, who works eight hours per day. Assume Poisson arrivalsand exponential service times.
a.What percentage of time is Judy idle? (Round your answer to1 decimal place.)
b.How much time, on average, does a student spend waiting in line?(Do not round intermediate calculations. Round your answerto 1 decimal place.)
c.How long is the (waiting) line on average? (Round youranswer to 2 decimal places.)
d.What is the probability that an arriving student (just beforeentering the Administrative Services Office) will find at least oneother student waiting in line? (Do not round intermediatecalculations. Round your answer to 4 decimal places.)

Answer & Explanation Solved by verified expert

4.1 Ratings (501 Votes)

Solution In queuing theory we learn about the waitingline frameworks three pieces of a waitingline framework are 1 appearances or inputs to the framework 2 queue See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member