MTH 410 International Tractor Motors Research Paper

Don't use plagiarized sources. Get Your Custom Essay on
MTH 410 International Tractor Motors Research Paper
Just from $13/Page
Order Essay

International Tractor Motors (ITM) had recently undertaken an ad campaign aimed at agricultural owners in a certain country in Asia. The ad campaign was devoted to promoting the new IT-8 large specialty tractor. Four sales associates were assigned to sell in different medium to large farms throughout the country for many days. One associate was assigned to the northern part of the country. Another was assigned to the southern part. The other two were assigned to the west and east, respectively. Because of regulations, a sales associate can sell at most one IT-8 tractor per day and only one such tractor per farm, too. A sales associate was successful if he/she sold a tractor during the day. Thus, ITM can sell at most 4 tractors (4 total sales) per day in this country.

Download the file titled Tractor Successes. It contains a scatter plot of the number of successes versus frequency. To compare the results to the Binomial Distribution, complete the following:
  1. Explain why this tractor sales scenario can be a binomial experiment.
  2. Using the Tractor Successes scatter plot, construct a frequency distribution for the number of successes.
  3. Compute the mean number of successes. The formula for the mean is as follows: LaTeX: \frac{\sum{(x⋅f)}}{\sum f}

The terms x represent the total number of successes (0, 1, 2, 3, 4) and f is the corresponding frequency (number of days where x successes occurred).

Explain what the numerical result means.

  1. From the frequency distribution, construct the corresponding relative frequency distribution.

Explain why the relative frequency distribution table is a probability distribution.

Then, use Excel to create a scatter plot of the probability distribution:

Select the two columns of the probability distribution. Click on INSERT, and then go to the Charts area and select Scatter. Then choose the first Scatter chart (the one without lines connecting).

  1. Using the frequency distribution, what is the tractor sales success average? In part 3, note that the numerator in the formula for the mean is the total number of successes. The total number of trials is the denominator of the formula for the mean multiplied by 4. What does this average mean?
  2. The Binomial Distribution is uniquely determined by n, the number of trials, and p, the probability of “success” on each trial. Using Excel, construct the Binomial Probability Distribution for four trials, n, and probability of success, p, as the tractor sales success average in part 5. Here is an explanation of the BINOM.DIST function in Excel: (Links to an external site.)

For example, In Excel

=BINOM.DIST(7,15,0.7, FALSE)

represents the probability of 7 successes out of 15 (n) trials. The 0.7 is the probability of success, p.

Using the above value of n=4 with probability of success, p, as the tractor sales success average in part 5, what is the probability of at least two successes?

  1. Using the formula for the mean of the Binomial Distribution, what is the mean number of successes in part 6 above?
  2. In Excel, create a scatter plot for the Binomial Distribution. The instructions for creating a scatter plot are in part 4 above.
  3. Use the results above to compare the probability distribution of tractor sales successes and the Binomial Distribution. Compare the means in parts 4 and 6, too.

If the probability distribution of tractor sales successes and the Binomial Distribution differ, explain why that is so.

  • Do you think the Binomial Distribution is a good model for the tractor sales success scenario? Why or why not?
  • How can International Tractor Motors use the Binomial Distribution to approximate tractor sales in similar countries?
  • In what other scenarios can International Tractor Motors use the Binomial Distribution? Explain.

Write a report that adheres to the formatting and APA expectations outlined on the Citing & APA Resources page (Links to an external site.) in the CSU-Global Writing Center. As with all written assignments at CSU-Global, you should have in-text citations and a reference page.

Submit your Excel file in addition to your report.

  1. The paper must be written in third person.
  2. Your paper should be four to five pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The CSU-Global Library (Links to an external site.) is a great place to find resources.
  3. Include a title page, introduction, body, conclusion, and a reference page.
  4. The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society, or it might discuss or describe the unique terminology associated with the topic.
  5. The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure the Word document is in paragraph format, not numbered answers like a homework assignment.
  6. The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs. Your conclusion should emanate from (be aligned with) your findings.
  7. Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.
  8. Document formatting, citations, and style should conform to the CSU-Global Virtual Library CSU-Global Guide to Writing and APA: Introduction (Links to an external site.). A short summary containing guidelines for paper formatting, citations, and references is contained in the New Sample APA Paper (Links to an external site.). In addition, information in the CSU-Global Virtual Library under the Writing Center/APA Resources tab (Links to an external site.) has many helpful areas (Writing Center, Writing Tips, Template & Examples/Papers & Essays, and others).

My Essay Homework
Calculate your paper price
Pages (550 words)
Approximate price: -

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!

Calculate the price of your order

Total price:

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.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.


Essay Writing Service

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.


Editing Support

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.


Revision Support

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.