The following information pertains to telephone calls to a motel switchboard on a typical
Tuesday. Use Table 1.
Morning 1.6 1.6 2
Afternoon 2.7 .9 4
Evening 1.5 .6 3
Determine the average time callers wait to have their calls answered for each period and the
probability that a caller will have to wait for each period. (Round intermediate calculations
and final answers to 3 decimal places.)
Determine the maximum line length for a probability of 91 percent. (Round your
intermediate calculations to 3 decimal places and round up your final answers to the
next whole number.)
Trucks are required to pass through a weighing station so that they can be checked for weight
violations. Trucks arrive at the station at the rate of 24 an hour between 7:00 p.m. and 9:00 p.m.
Currently two inspectors are on duty during those hours, each of whom can inspect 15 trucks an
Use Table 1.
How many trucks would you expect to see at the weighing station, including those being
inspected? (Round your answer to 3 decimal places.)
If a truck was just arriving at the station, about how many minutes could the driver expect to
be at the station? (Round your answer to 2 decimal places.)
What is the probability that both inspectors would be busy at the same time?(Round your
answer to 4 decimal places.)
How many minutes, on average, would a truck that is not immediately inspected have to
wait? (Round your answer to the nearest whole number.)
What is the maximum line length for a probability of .90? (Round up your answer to the
next whole number.)
banking hours. During the early evening hours in the summer months, customers arrive at a
certain location at the rate of one every other minute. This can be modeled using a Poisson
distribution. Each customer spends an average of 90 seconds completing his or her transactions.
Transaction time is exponentially distributed.
Determine the average time customers spend at the machine, including waiting in line and
completing transactions. (Do not round intermediate calculations. Round your answer to
the nearest whole number.)
Average time minutes
Determine the probability that a customer will not have to wait upon arriving at the automatic
teller machine. (Round your answer to 2 decimal places.)
Determine the average number waiting to use the machine. (Round your answer to 2
Average number customers
constant. Customers arrive at a mean rate of 75 per hour, and this rate is Poisson-distributed.
Determine the average number of customers waiting in line. (Round your answer to 2
Average number of customer
Determine the average time customers spend in the system. (Do not round intermediate
calculations. Round your answer to 2 decimal places.)
Average time minutes
Determine the average number in the system. (Do not round intermediate calculations.
Round your answer to 2 decimal places.)
Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel
time, is exponentially distributed, with a mean of 2.5 hours per call. Requests for copier repairs
come in at a mean rate of 2.1 per eight-hour day (assume Poisson).
Determine the average number of customers awaiting repairs. (Round your answer to 2
Number of customers
Determine system utilization. (Round your answer to the nearest whole percent. Omit the
“%” sign in your response.)
System utilization %
Determine the amount of time during an eight-hour day that the repairman is not out on a
call. (Round your answer to 2 decimal places.)
Amount of time hours
Determine the probability of two or more customers in the system. (Do not round
intermediate calculations. Round your answer to 4 decimal places.)
Why Work with Us
Top Quality and Well-Researched Papers
We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.
Professional and Experienced Academic Writers
We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.
Free Unlimited Revisions
If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.
Prompt Delivery and 100% Money-Back-Guarantee
All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.
Original & Confidential
We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.
24/7 Customer Support
Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.
No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.
Admission Essays & Business Writing Help
An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.
Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.
If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.