Please help me with this probability assignment. I have all the answers I just need you to show me how to do the work for each one.

Option #1: Fencing a Farmer’s FieldAs a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 2000 feet of fencing. Remember that a square maximizes area, so use a square in your work.Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field.Find the function that models the area in terms of one of its sides.Find the point that maximizes the function you found in the second bulleted item.Calculate the area of the field at the point you found in the third bulleted item, and then compare your results with the results in the first bulleted item.Requirements:Paper must be written in 3rdYour paper should be 4-5 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.)Links to an external site.is a great place to find resources. Your textbook is a credible resource.Include a title page, introduction, body, conclusion, and a reference page.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 as a whole, or it might discuss or describe the unique terminology associated with the topic.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 this is in paragraph format, not numbered answers like a homework assignment.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.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.Document formatting, citations, and style should be in APA style

Assignment: Testing for Bivariate Categorical AnalysisYou have had plenty of practice with data analysis in the Discussions and hopefully you have received helpful and encouraging feedback from your colleagues. Now, for the last time in the course, it is time once again to put all of that good practice to use and answer a social research question using categorical statistical tools. As you begin the Assignment, be sure and pay close attention to the assumptions of the test. Specifically, make sure the variables are categorical level variables.For this Assignment, you will consider three different scenarios. Each of these scenarios include a research question. You will examine each scenario, choose a categorical data analysis and run a sample test.To prepare for this Assignment:Review Chapters 10 and 11 of the Frankfort-Nachmias & Leon-Guerrero course text and the media program found in this week’s Learning Resources related to bivariate categorical tests.Using the SPSS software, open the Afrobarometer dataset found in this week’s Learning Resources.Next, review the Chi Square Scenarios found in this week’s Learning Resources and consider each research scenario for this Assignment.Based on the dataset you chose and for each research scenario provided, using the SPSS software, choose a categorical data analysis and run a sample test.Once you perform your categorical data analysis, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.For this Assignment:Write a 1- to 2-paragraph analysis of your categorical data results for each research scenario. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). In your analysis, display the data for the output. Based on your results, provide an explanation of what the implications of social change might be.Use proper APA format, citations, and referencing for your analysis, research question, and display of output.https://studyhall.laureate.net/research/Username:RSCHPassword:RSCHRequired ReadingsWagner, III, W. E. (2020). Using IBM® SPSS® statistics for research methods and social science statistics (7th ed.). Thousand Oaks, CA: Sage Publications.Chapter 7, "Cross-Tabulation and Measures of Association for Nominal and Ordinal Variables"Chapter 11, "Editing Output" (previously read in Week 2, 3, 4, 5. 6, 7, and 8)Frankfort-Nachmias, C., Leon-Guerrero, A., & Davis, G. (2020). Social statistics for a diverse society (9th ed.). Thousand Oaks, CA: Sage Publications.Chapter 9, “Bivariate Tables” (pp. 281-325)Chapter 10, “The Chi-Square Test and Measures of Association” (pp. 327-373)Document: Chi Square Scenarios (PDF)Use these scenarios to complete your Assignment for this week.DatasetsYour instructor will post the datasets for the course in the Doc Sharing section and in an Announcement. Your instructor may also recommend using a different dataset from the ones provided here.Required MediaLaureate Education (Producer). (2016a). Bivariate categorical tests [Video file]. Baltimore, MD: Author.Note: The approximate length of this media piece is 5 minutes.In this media program, Dr. Matt Jones demonstrates bivariate categorical tests using the SPSS software.Accessible player --Downloads--Download Video w/CCDownload AudioDownload TranscriptOptional ResourcesKlingenberg, B. (2016). The Chi-squared test. Retrieved from https://istats.shinyapps.io/ChiSquaredTest/