{"id":18533593,"url":"https://github.com/mysftz/probability-distribution-report","last_synced_at":"2025-05-14T23:10:55.260Z","repository":{"id":189695115,"uuid":"680444157","full_name":"Mysftz/Probability-Distribution-Report","owner":"Mysftz","description":"LaTeX written report for the analysis of Probability Distribution for a submission towards my bachelors of science degree. 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name=\"readme-top\"\u003e\u003c/a\u003e\n\u003cdiv align=\"center\"\u003e\n\n[![alt text](https://github.com/Mysftz/Mysftz/blob/main/assets/READMEHeader.jpeg?raw=true)](https://github.com/Mysftz)\n# Probability Distribution Report\n[![GitHub][GitHub-shield]](https://github.com/Mysftz/probability-distribution-report)\n[![Contributors][contributors-shield]](https://github.com/Mysftz/probability-distribution-report/graphs/contributors)\n[![Forks][forks-shield]](https://github.com/Mysftz/probability-distribution-report/network/members)\n[![Stargazers][stars-shield]](https://github.com/Mysftz/probability-distribution-report/stargazers)\n[![Issues][issues-shield]](https://github.com/Mysftz/probability-distribution-report/issues)\n[![License][license-shield]](https://github.com/Mysftz/probability-distribution-report/blob/main/LICENSE.txt)\n\u003c/div\u003e\n\n\u003cp align=\"center\"\u003e\n  \u003ca href=\"#about-the-project\"\u003eAbout The Project\u003c/a\u003e •\n  \u003ca href=\"#built-with\"\u003eBuilt With\u003c/a\u003e •\n  \u003ca href=\"https://github.com/Mysftz/probability-distribution-report/archive/refs/heads/main.zip\"\u003eDownload\u003c/a\u003e • \n  \u003ca href=\"#usage\"\u003eUsage\u003c/a\u003e •\n  \u003ca href=\"#license\"\u003eLicense\u003c/a\u003e •\n  \u003ca href=\"#other-projects\"\u003eOther Projects\u003c/a\u003e •\n  \u003ca href=\"#contact\"\u003eContact\u003c/a\u003e\n\u003c/p\u003e\n\n\u003c!-- TABLE OF CONTENTS --\u003e\n\u003cdetails\u003e\n  \u003csummary\u003eTable of Contents\u003c/summary\u003e\n  \u003col\u003e\n    \u003cli\u003e\n      \u003ca href=\"#about-the-project\"\u003eAbout The Project\u003c/a\u003e\n      \u003cul\u003e\n        \u003cli\u003e\u003ca href=\"#introduction\"\u003eInfomation\u003c/a\u003e\u003c/li\u003e\n        \u003cli\u003e\u003ca href=\"#built-with\"\u003eBuilt With\u003c/a\u003e\u003c/li\u003e\n        \u003cli\u003e\u003ca href=\"#other-infomation\"\u003eOther Infomation\u003c/a\u003e\u003c/li\u003e\n      \u003c/ul\u003e\n    \u003c/li\u003e\n    \u003cli\u003e\u003ca href=\"#usage\"\u003eUsage\u003c/a\u003e\u003c/li\u003e\n    \u003cli\u003e\u003ca href=\"#license\"\u003eLicense\u003c/a\u003e\u003c/li\u003e\n    \u003cli\u003e\u003ca href=\"#other-projects\"\u003eOther Projects\u003c/a\u003e\u003c/li\u003e\n    \u003cli\u003e\u003ca href=\"#contact\"\u003eContact\u003c/a\u003e\u003c/li\u003e\n  \u003c/ol\u003e\n\u003c/details\u003e\n\n\u003c!-- ABOUT THE PROJECT --\u003e\n## About The Project\n### Introduction\n\nThe main aim of this experiment is to evaluate and prove the relation of statistical data against physically collected data in regards to three types of probability distributions: the Binomial, the Normal (Gaussian) and the Poisson distributions. Within this experiment, three main short physical experiments will take place to prove the hypothesis, and show connections between each type of distribution. The overall analysis of the data collected in this report shows a connection between the Binomial and Normal (Gaussian) distributions as well as a strong correlation between the statistical and physical data, this report will also outline the only error involved was human error as this experiment will mainly be done using computer simulations and programming software.\n\nAnalyzing the results which were concluded proves a strong correlation between statistical data and physical data, in each three experiments, the statistical data matched the physically collected data. Even thought this experiment was conducted fairly and mainly using computer simulations and the programming software \"Spyder\" Python 3.6 so their was no error to be calculated for such operations. The only error found and derived was from human error where the users had an impact on the ball bearings falling down the board in Task 1 - Data Taking, this was to be expected as this short experiment relies completely on human interference but it is unclear and cannot be calculated the damage it has done in terms of the fairness of this experiment overall. \n\nIn conclusion, with respect to the purpose of this report, the experiment proved that their is a strong connection between each of the 3 probability distributions statistical data and physical data. In each short experiment, it was proved that the statistics match the physical data collected from the experiment, this is highlighted throughout Section \\ref{Results Discussion Section}. The experiment was kept as fair and un-bias to promote true variation in results to fully verify the implied hypothesis of this experiment, the only error obtained within this experiment is truly human error which cannot be calculated but can be taken into account.\n\n### Built With\n\nLaTeX, Overleaf, BibTeX\n\n### Other Infomation\n\nLaTeX Report: https://github.com/Mysftz/probability-distribution-report \u003c/br\u003e\nPython Files: https://github.com/Mysftz/probability-distribution\n\n\u003cp align=\"right\"\u003e(\u003ca href=\"#readme-top\"\u003eback to top\u003c/a\u003e)\u003c/p\u003e \n\n\u003c!-- USAGE --\u003e\n## Usage\n\nThis report was submitted for the degree of a Bachelors of Science in Astronomy, Space Science and Astrophysics at the University of Kent in March 2018.\n\n\u003cp align=\"right\"\u003e(\u003ca href=\"#readme-top\"\u003eback to top\u003c/a\u003e)\u003c/p\u003e\n\n\u003c!-- LICENSE --\u003e\n## License\nDistributed under the CC-BY-SA-4.0: Creative Commons Attribution Share Alike 4.0 International License. See `LICENSE.txt` for more information.\n\n\u003cp align=\"right\"\u003e(\u003ca href=\"#readme-top\"\u003eback to top\u003c/a\u003e)\u003c/p\u003e\n\n\u003c!-- OTHER PROJECTS --\u003e \n## Other Projects\n\u003cdiv align=\"center\"\u003e\n\u003ca href=\"https://github.com/stars/Mysftz/lists/data-science-projects\" style=\"margin:10px; margin-bottom:50px\"\u003e\u003cimg src=\"https://github.com/Mysftz/Mysftz/blob/main/assets/Button-DataScience.jpeg?raw=true\" alt=\"Data Science Projects Button\" width=\"265\" height=\"75\"\u003e\u003c/a\u003e\n\u003ca href=\"https://github.com/stars/Mysftz/lists/data-analysis-projects\" style=\"margin:10px; margin-bottom:50px\"\u003e\u003cimg src=\"https://github.com/Mysftz/Mysftz/blob/main/assets/Button-DataAnalysis.jpeg?raw=true\" alt=\"Data Analysis Projects Button\" width=\"265\" height=\"75\"\u003e\u003c/a\u003e\n\u003ca href=\"https://github.com/stars/Mysftz/lists/university-projects\" style=\"margin:10px; margin-bottom:50px\"\u003e\u003cimg src=\"https://github.com/Mysftz/Mysftz/blob/main/assets/Button-University.jpeg?raw=true\" alt=\"University Projects Button\" width=\"265\" height=\"75\"\u003e\u003c/a\u003e\n\u003ca href=\"https://github.com/stars/Mysftz/lists/python-projects\" style=\"margin:10px; margin-bottom:50px\"\u003e\u003cimg src=\"https://github.com/Mysftz/Mysftz/blob/main/assets/Button-Python.jpeg?raw=true\" alt=\"Python Projects Button\" width=\"265\" height=\"75\"\u003e\u003c/a\u003e\n\u003ca href=\"https://github.com/stars/Mysftz/lists/latex-projects\" style=\"margin:10px; padding-bottom:50px\"\u003e\u003cimg src=\"https://github.com/Mysftz/Mysftz/blob/main/assets/Button-Latex.jpeg?raw=true\" alt=\"LaTeX Projects Button\" width=\"265\" height=\"75\"\u003e\u003c/a\u003e\n\u003ca href=\"https://github.com/stars/Mysftz/lists/other-projects\" style=\"margin:10px; margin-bottom:50px\"\u003e\u003cimg src=\"https://github.com/Mysftz/Mysftz/blob/main/assets/Button-Other.jpeg?raw=true\" alt=\"Other Projects Button\" width=\"265\" height=\"75\"\u003e\u003c/a\u003e\n\u003c/div\u003e\n\n\u003cp align=\"right\"\u003e(\u003ca href=\"#readme-top\"\u003eback to top\u003c/a\u003e)\u003c/p\u003e\n\n\u003c!-- CONTACT --\u003e\n## Contact\n\u003cdiv align=\"center\"\u003e\n\nGitHub: [@Mysftz](https://github.com/Mysftz) \u0026nbsp;\u0026middot;\u0026nbsp; Portfolio: [Website](https://mysftz.github.io) \u0026nbsp;\u0026middot;\u0026nbsp; LinkedIn: [@lrgtomaszewski](https://www.linkedin.com/in/lrgtomaszewski/) \u0026nbsp;\u0026middot;\u0026nbsp; Instagram: [@Mysftz](https://www.instagram.com/mysftz/) \u0026nbsp;\u0026middot;\u0026nbsp; Twitter: [@MysftzUK](https://twitter.com/MysftzUK)\n\u003c/div\u003e\n\n[contributors-shield]: https://img.shields.io/github/contributors/mysftz/probability-distribution-report.svg?style=for-the-badge\n[forks-shield]: https://img.shields.io/github/forks/mysftz/probability-distribution-report.svg?style=for-the-badge\n[stars-shield]: https://img.shields.io/github/stars/mysftz/probability-distribution-report.svg?style=for-the-badge\n[issues-shield]: https://img.shields.io/github/issues/mysftz/probability-distribution-report.svg?style=for-the-badge\n[license-shield]: https://img.shields.io/github/license/mysftz/probability-distribution-report.svg?style=for-the-badge\n[github-shield]: https://img.shields.io/badge/-GitHub-black.svg?style=for-the-badge\u0026logo=GitHub\u0026colorB=555","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmysftz%2Fprobability-distribution-report","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fmysftz%2Fprobability-distribution-report","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmysftz%2Fprobability-distribution-report/lists"}