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README.md

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# Fundamentals of Probability Theory [![View <File Exchange Title> on File Exchange](https://www.mathworks.com/matlabcentral/images/matlab-file-exchange.svg)](https://www.mathworks.com/matlabcentral/fileexchange/100546-probability-theory) or [Open in MATLAB Online](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Probability-Theory&project=Probability.prj)
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# Fundamentals of Probability Theory
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[![View Fundamentals of Probability Theory on File Exchange](https://www.mathworks.com/matlabcentral/images/matlab-file-exchange.svg)](https://www.mathworks.com/matlabcentral/fileexchange/100546-probability-theory)
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or [![Open in MATLAB Online](https://www.mathworks.com/images/responsive/global/open-in-matlab-online.svg)](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Probability-Theory&project=Probability.prj)
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**Curriculum Module**
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_Created with R2021a. Compatible with R2021a and later releases._
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## Details ##
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**`probabilityIntro.mlx`** [Open in MATLAB Online](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Probability-Theory&project=Probability.prj&file=probabilityIntro.mlx)
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**`probabilityIntro.mlx`** [![Open in MATLAB Online](https://www.mathworks.com/images/responsive/global/open-in-matlab-online.svg)](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Probability-Theory&project=Probability.prj&file=probabilityIntro.mlx)
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**Learning Goals**
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- Explain the commonly used terms in probability such as random experiment, random process, trial, event, outcome, countable, equally likely, sample space, mutual independence.
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- Define and compute classical probability of events.
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## ##
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**`randomVariables.mlx`, `randomVariableApp.mlapp`** [Open in MATLAB Online](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Probability-Theory&project=Probability.prj&file=randomVariables.mlx)
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**`randomVariables.mlx`, `randomVariableApp.mlapp`** [![Open in MATLAB Online](https://www.mathworks.com/images/responsive/global/open-in-matlab-online.svg)](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Probability-Theory&project=Probability.prj&file=randomVariables.mlx)
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**Learning Goals**
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- Define and create random variables to describe random processes.
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- Generate an empirical distribution of random variables through random sampling.
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<img height="400" alt="central limit theorem" src="https://user-images.githubusercontent.com/81376570/134528844-44efc801-83b8-446e-ba9d-5091fbf411ab.gif">
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## ##
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**`inferenceBayes.mlx`** [Open in MATLAB Online](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Probability-Theory&project=Probability.prj&file=inferenceBayes.mlx)
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**`inferenceBayes.mlx`** [![Open in MATLAB Online](https://www.mathworks.com/images/responsive/global/open-in-matlab-online.svg)](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Probability-Theory&project=Probability.prj&file=inferenceBayes.mlx)
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**Learning Goals**
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- Define conditional probability, and explain how it affects the sample space.
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<img height="600" alt="conditional probability" src="https://user-images.githubusercontent.com/81376570/134539490-24e6a992-f46c-4f78-b0e3-ac867d5304f8.png">
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## Products ##
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MATLAB, Statistics and Machine Learning Toolbox&trade;, Image Processing Toolbox&trade;
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MATLAB&reg;, Statistics and Machine Learning Toolbox&trade;, Image Processing Toolbox&trade;
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## License ##
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The license for this module is available in the LICENSE.TXT file in this GitHub repository.

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