To complete this project, perform the following tasks:

Design a probability model that models a real-world situation, and identify the possible outcomes and sample space of the model.

Analyze the results of the experiment, and compare theoretical and empirical outcomes.

Design a binomial probability experiment.

Part 1 Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that models a political science public opinion poll.

What are the possible outcomes and sample space of the experiment?

What were the results of the experiment? Show the results in table format.

What is the probability of each option?

How can a binomial probability experiment be set up to test the accuracy of the results?

Part 2.

Compare the data from the experiment to the public opinion poll. How does the data collected compare to the media source? Describe the trends in the data and compare the theoretical probability to the empirical probability.

Part 3.

Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in 100

100

random tests. For example, if the probability of success is 0.20

0.20

and the number of trials is 100,

100

,

then the number of successes is 20.

20

.

What are the numbers of trials, successes, and failures?

What are the results of the experiment?

What is the difference between the empirical and theoretical probabilities? Identify trends in the outcomes.

# Category: Mathematics

## What fraction of a year is 295 days?

1. Set up a proportion to convert 90 inches into feet. (Hint: There are 12 inches in a foot). Show your work.

2. Convert 21.9 liters to quarts. Round your answer to the nearest tenth. Show your work. (Hint: There are approximately 1.06 quarts in 1 liter).

3. What fraction of a year is 295 days? Write your answer as a fraction in lowest terms. Show your work.

4. Write a proportion percent and solve it to find what is 12.2% of $229? Round answer to the nearest cent, if necessary. Please show your work.

Scenario

You have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company’s Pacific region salespeople just returned to the office with a newly designed advertisement. The average cost per square foot of home sales based on this advertisement is $280. The salesperson claims that the average cost per square foot in the Pacific region is less than $280. In other words, he claims that the newly designed advertisement would result in higher average cost per square foot in the Pacific Region. He wants you to make sure he can make that statement before approving the use of the advertisement. In order to test his claim, you will generate a random sample size of 750 using data for the Pacific region and use this data to perform a hypothesis test.Generate a sample of size 750 using data for the Pacific region. Then, design a hypothesis test and interpret the results using significance level α = .05. You will work with this sample in the assignment. Briefly describe how you generated your random sample.Use the House Listing Price by Region Spreadsheet document and the National Summary Statistics and Graphs House Listing Price by Region PDF documents to help support your work on this assignment. You may also use the Descriptive Statistics in Excel PDF and Creating Histograms in Excel PDF tutorials for support.

Please use the template below

6. Write a typed, double-spaced reflection paper (minimum one page). Remember that we are looking for

responses that are backed by values that support your statements. The explanations should be clear to a broad

audience. Do NOT use cell references in your paper. The paper must include the following information:

Your name, course name and project name.

An introductory paragraph explaining the purpose of this project.

For the first paragraph of the main body, write an explanation of how the final grade is calculated and

how Excel is used in this process. Analyze and reflect on the results for the student data provided. What

is the final course score you determined based on the initial data provided? What letter grade is this?

For the second paragraph of the main body, reflect on the second scenario of the spreadsheet.

Could the student receive the next higher letter grade by improving any individual score from any

category? If it is possible, what was the minimum new score that would achieve an increase of a letter

grade for her course grade? If that is not possible, explain why.

For the third paragraph of the main body, reflect on the third and fourth scenarios. What

happened to the student’s final course scores? If the student did not turn in the last two homework

assignments and the last project? If the student received perfect scores on all of the quizzes?

For the fourth paragraph of the main body, reflect on the last scenario. How would the student’s

grade be impacted by weighing tests more heavily? Quantify your answer. Would this be a

good change to make?

For the conclusion, reflect on the results of your project. What have you learned from doing this

project? How will Excel help to determine YOUR grade? How could you use Excel in the future?

Math 123 Quantitative Reasoning Project 1 Fall, 2022

Before you turn in your project, your project should check to make sure that you:

Contain a paper that is well organized and in paragraph form (not just bulleted answers!), with an introduction,

main body, and conclusion.

Contain a paper that is clear to someone who is not familiar with the project. Do not assume that you are writing

this to your instructor, make sure everyone can understand your statements.

Give specific values; quantify statements.

Provide support for your statements; explain how values were found and justify statements.

Provide a workbook with at least five spreadsheets using the original grade values given below.

Use appropriate representations (tables, color, formatting) that will help the reader understand the project.

Project should make use of Excel functions.

Project should be your original work. Copying someone else’s work is cheating. Sharing your work with

someone else is cheating.

These instructions cover the MINIMUM expectations of this project. Students are encouraged to be creative.

When you are done check for the final list, submit both an Excel and Word file

in the Project 1 assignment.

Write a report on Newton’s discovery of the binomial series. Start by giving the statement of the binomial series in Newton’s notation (see the epistola prior on page 285 of [4]

or page 402 of [2]). Explain why Newton’s version in equivalent to Theorem 17 on page

807. Then read Newton’s epistola posterior (page 287 in [4] or page 404 in [2]) and explain the patterns that Newton discovered in the areas under the curves y = (1−x2) n/2

.

Show how he was able to guess the areas under the remaining curves and how he verified

his answers. Finally, explain how these discoveries led to the binomial series. The books

by Edwards [1] and Katz [3] contain commentaries on Newton’s letters.

References:

1. C.H. Edwards, The Historical Development of the Calculus (New York: SpringerVerlag, 1979), pp. 178-187. e-book is available on the assignment material.

2. John Fauvel and Jeremy Gray, eds., The History of Mathematics: A reader (London:

MacMillan Press, 1987). e-book is available through UHWO library.

3. Viktor Katz, A History of Mathematics: An Introduction (New York: HarperCollins, 1993), pp.463-466.

4. D. J. Struik, ed., A Sourcebook in Mathematics, 1200-1800 (Princeton, NJ: Princeton University Press, 1969). e-book is available through UHWO library

Write a report on Newton’s discovery of the binomial series. Start by giving the statement of the binomial series in Newton’s notation (see the epistola prior on page 285 of [4]

or page 402 of [2]). Explain why Newton’s version in equivalent to Theorem 17 on page

807. Then read Newton’s epistola posterior (page 287 in [4] or page 404 in [2]) and explain the patterns that Newton discovered in the areas under the curves y = (1−x2) n/2

.

Show how he was able to guess the areas under the remaining curves and how he verified

his answers. Finally, explain how these discoveries led to the binomial series. The books

by Edwards [1] and Katz [3] contain commentaries on Newton’s letters.

References:

1. C.H. Edwards, The Historical Development of the Calculus (New York: SpringerVerlag, 1979), pp. 178-187. e-book is available on the assignment material.

2. John Fauvel and Jeremy Gray, eds., The History of Mathematics: A reader (London:

MacMillan Press, 1987). e-book is available through UHWO library.

3. Viktor Katz, A History of Mathematics: An Introduction (New York: HarperCollins, 1993), pp.463-466.

4. D. J. Struik, ed., A Sourcebook in Mathematics, 1200-1800 (Princeton, NJ: Princeton University Press, 1969). e-book is available through UHWO library

Hello

Please write about Autonomous Equations, Equilibrium Solutions, and Stability, and write one example and one reference. Provide an example that has not been mentioned in a previous post, and then explain how Autonomous Equations, Equilibrium Solutions, and Stability may be used, in general, to model experiments for biological populations.

Thanks,

I already picked the 3 Organizations:

Chicanos por la causa-Casa de primavera- Food Distribution Center 602-272-0054

· St Mary’s Food Bank- 602-242-3663

· Saint Augustine-Society of Saint Vincent de Paul 623-418-7160

An Excel sheet is also required but I will complete that.

Overview

You have decided that 5 years from now, you will spend 12 weeks implementing a project to provide humanitarian assistance to people in your local community. At that time, you will take a break from work or retirement and spend at least 30 hours per week for 12 weeks engaged in this project. You will be in charge of your own project working directly with people in need, not simply volunteering with an existing organization. In the 5 years between now and the start of the project, you will devise a plan and prepare funding.

Project details in Word

For your project, you will identify a group of local people to assist with a need from the provided list. You will develop a project that has the potential to improve their lives in both the short and long run. Choose one project from the list below to use for Major Assignment 3. The list is organized under different topics to help you find a project that interests you.

Education

– An afterschool tutoring program

– School supply distribution

– Day camp for kids

– Vocational training

Health Care

– Pop-up clinic for vaccines, general health care, etc.

– Health care awareness program – mental health, nutrition, maternity care, etc.

– Mental health support groups

– Help lines/call centers

Community Improvement

– Home rehabilitation

– Community safety program

Other Service Projects

– Food distribution

– Clothing distribution

– Companion program for senior citizens

– Homeless assistance

You will contact experts or representatives from local churches, charities, non-governmental and/or governmental organizations to get information about areas of need in your community and/or additional information about what is necessary to run a project like this.

For your project, you will provide specifics of what you will achieve and how the success of your project should be measured.

You will also identify the people, resources, and materials needed to provide your service. Your project must include the assistance of other people, either whom you will recruit as volunteers, whom you will pay for expert assistance, or both.

You will complete the Microsoft Word template using 1,500 to 3,000 words to explain specifics of your project implementation. For full credit, you must address each point in each section listed. The objective is to demonstrate that you have thought through in detail what it would mean to provide a certain type of assistance.

Although you may cross-reference points between sections, the questions from each section must be answered in that section to get credit for your response. The amount of credit you receive will depend on how thoroughly you have considered your implementation: you should attempt to write so that a reasonable reader would need to ask few or no follow-up questions to clarify your overall objective, people you will help, assistance provided, project management, timeline, assessment procedures, ethics and CWV analysis, and reflections. Write-ups that leave many questions unanswered or with significant gaps will earn less credit. Be sure to support your claims with evidence.

Here are the sections that you will be completing in the Microsoft Word template:

I) Titles for both the Project and Each Section

1) A title for your write-up, including your name, the date, the course, and your instructor’s name. Your title should capture the essence of your project (e.g., “Tiny Homes for the Homeless in Mendenhall, MS”)

2) Titles for Each sections – generic ones are provided in the template but most should be adapted to your specific project.

II) Whom will you help? Instead of this question the actual Write-Up should have a statement of the group you intend to aid.

In this section, you must address the following questions:

1. Where is your local community (city, state/province, and country) in which you will be providing assistance?

2. Describe the specific group of people in your local community that you will be helping. Why do they need assistance? What is their economic status? What mix of ages and genders are they? Etc.

3. How will you get the word out to the people you want to help? Why did you choose this approach?

III) What assistance will you provide? Instead of this question the actual Write-Up should have a statement of the type of aid you are offering.

In this section, you must address the following questions:

1. What specific assistance will you bring to the people who need it (goods, services, training, cash assistance, etc.)? (Here, a response like “cash payments of $50 per person per week” is better than “cash payments.”) Does the assistance provided change based on age, gender, family grouping, etc.?

2. How and where will you provide the assistance to people in need? Will you maintain a location for people to come to? Will you visit people where they are? Will you provide transportation if needed (or if that’s part of your service)? Etc.

3. How will this assistance help people in the short run? That is, how might people be better off immediately because of the assistance you provide?

4. How will this assistance help people in the long run? That is, how might the assistance you provide have lasting effects, even if it is time-limited?

IV) How will you start up and manage your project?

In this section, you must address the following questions:

1. What are the starting and ending dates of your project? (These should be 5 years in the future and run for the 12 weeks of your project.)

2. Out of your 12-week timeframe, how many weeks will you need to start up your project before beginning to provide assistance to people in need? What will you need to accomplish during these weeks?

3. Where will central operations for your project be? Will you rent a location, look for a donated location, or work in a distributed way (say from people’s houses)?

4. How would you prove to an outside authority (e.g., an auditor) that everything is in place to proceed with your operation? If permits and/or licenses are required, this should be included. If not, you should provide evidence that none are required (e.g., a government website).

5. Will you need volunteers, paid workers, or both? How will you screen personnel? What kinds of skills, special training, licenses, or certification do your personnel need to assist with your project and why?

6. How will you coordinate volunteer efforts, and what will they do? How many volunteers and/or workers do you expect to have?

V) What will you accomplish in the main part of your project?

In this section, you must address the following questions:

1. How many weeks will you spend providing assistance to people in need?

2. How many people in need do you expect to be able to assist, and in what ways? Provide evidence that the personnel and time available are sufficient to achieve this goal.

3. How will you track and document whom you are helping and the process by which you are providing assistance?

VI) How will you wrap up and evaluate your project?

In this section, you must address the following questions:

1. Out of the 12-week time frame, how many weeks will you need to wrap up your project?

2. In those weeks, what steps will you take to wrap up your project? What records will you retain, and how will you archive those? What steps are required to finalize any location-related expenses?

3. How will you conclude relationships with people you are assisting? When your assistance is no longer available to the people in need, what additional sources of support can you direct them to? How likely is it that these additional sources will be available to the people you helped?

4. If you had to determine immediately after the end of your project whether your assistance had helped, how would you do that? What kind of metric or metrics could you use to determine whether a particular individual had been helped? What questions would you need to ask to determine this?

5. Similarly, how could you determine, 3 months after the end of your project, whether your project assistance was still having an effect? How would you get back in touch with people you had helped? What characteristics of their condition could you measure to determine whether any positive impact from your assistance still remained?

VII) Ethics and Christian Worldview Analysis

In this section, you must address the following questions:

1. How does your project demonstrate the Judeo-Islamic-Christian ideal of loving your neighbor as yourself? What other religious and/or ethical principles does your project strive to exemplify or realize?

2. How are the people you propose to help different from you, and how might you structure your project to help bridge differences and lead to increased mutual understanding and respect?

3. How does your project further the goal of affording human value and dignity to all people?

VIII) Summary and Reflections

In this section, you must address the following questions:

1. Whom did you contact to learn about local needs and/or additional information to run a project in your community? What input did they provide to direct your investigation?

2. What other local needs did you consider? What was compelling to you about the one you chose?

3. For the assistance you plan to provide, what other avenues are there for people to receive that assistance? How likely is it that it will be available to them?

4. What other factors (legal, political, social, etc.) that were not considered as a part of this presentation might you need to investigate if you were actually to implement a project such as this one?

IX) References

1. You must support your claims and data with at least three scholarly sources. These can be journal articles or official government websites with data or other relevant information about your local community.

This week is about spurious correlations. Check out these real-life examples: http://www.tylervigen.com/spurious-correlations

Here are some ideas for your post to get you started:

After looking at examples of Spurious Correlations, answer the question, Why do you need to be cautious when interpreting correlations?

Which outside resource (image, video, article) gives a great example of spurious correlations “in the wild”? Share the link within your post. What struck you most about this example?

What about this week’s content is relevant to your own professional or academic career?

I have two pdfs each containing 25 mathematical problems which I need to submit by 22nd October so a total of 50 problems. I am supposed to show the solutions too, so I would require you to give me the solutions with the answers. Thank you 🙂