Probability-Theory
Fundamentals of Probability Theory
Curriculum Module
Created with R2021a. Compatible with R2021a and later releases.
Information
This curriculum module contains interactive MATLAB® live scripts and supporting files that teach fundamental concepts in probability theory and statistical inference.
Background
You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. This module covers subjective, empirical, classical, and conditional probability, Bayes' theorem, concepts of discrete and continuous random variables, probability distributions, sampling, and the central limit theorem. It also includes examples of using Bayes' theorem to create an email spam filter.
The instructions inside the live scripts will guide you through the exercises and activities. Get started with each live script by running it one section at a time. To stop running the script or a section midway (for example, when an animation is in progress), use the Stop button in the RUN section of the Live Editor tab in the MATLAB Toolstrip.
Contact Us
Solutions are available upon instructor request. Contact the MathWorks teaching resources team if you would like to request solutions, provide feedback, or if you have a question.
Prerequisites
This module assumes a knowledge of basic concepts in set theory, such as ⋃ (union) and ⋂ (intersection). It also assumes basic fluency in mathematical notation for Σ (summation) and Π (product). Other notation relevant to probability theory is introduced within the module as needed.
No coding knowledge is expected. If you want to read the code, it would be helpful to have at least some familiarity with MATLAB, at the level of the MATLAB Onramp, a free two-hour introductory course.
Getting Started
Accessing the Module
On MATLAB Online:
Use the link to download the module. You will be prompted to log in or create a MathWorks account. The project will be loaded, and you will see an app with several navigation options to get you started.
On Desktop:
Download or clone this repository. Open MATLAB, navigate to the folder containing these scripts and double-click on [Probability.prj](matlab: openProject("Probability.prj")). It will add the appropriate files to your MATLAB path and open an app that asks you where you would like to start.
Ensure you have all the required products (listed below) installed. If you need to include a product, add it using the Add-On Explorer. To install an add-on, go to the Home tab and select Add-Ons > Get Add-Ons.
Products
MATLAB® and the Statistics and Machine Learning Toolbox™ are used throughout.
Scripts
ProbabilityIntro.mlx
RandomVariables.mlx
InferenceBayes.mlx
Related Courseware Modules
Courseware Module | Sample Content | Available on: |
---|---|---|
Descriptive Statistics and Probability Distributions |
GitHub |
Or feel free to explore our other modular courseware content.
Educator Resources
Contribute
Looking for more? Find an issue? Have a suggestion? Please contact the MathWorks teaching resources team. If you want to contribute directly to this project, you can find information about how to do so in the CONTRIBUTING.md page on GitHub.
License
You can find the license for this module on GitHub.
© Copyright 2023 The MathWorks™, Inc
Cite As
Emma Smith Zbarsky (2024). Probability-Theory (https://github.com/MathWorks-Teaching-Resources/Probability-Theory/releases/tag/v1.2.0), GitHub. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxTags
Communities
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SoftwareTests
Utilities
Scripts
Utilities/OldVersions
Version | Published | Release Notes | |
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1.2.0.0 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Probability-Theory/releases/tag/v1.2.0 |
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1.1.5.0 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Probability-Theory/releases/tag/v1.1.5 |
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1.1.4 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Probability-Theory/releases/tag/v1.1.4 |
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1.1.3 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Probability-Theory/releases/tag/v1.1.3 |
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1.1.2 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Probability-Theory/releases/tag/v1.1.2 |
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1.1.1 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Probability-Theory/releases/tag/v1.1.1 |
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1.1.0 |