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Probability: Difference between revisions
→Axioms of Probability
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Introductory Probability as taught in [https://www.pearson.com/us/higher-education/program/Ross-First-Course-in-Probability-A-9th-Edition/PGM110742.html Sheldon Ross' book] | Introductory Probability as taught in [https://www.pearson.com/us/higher-education/program/Ross-First-Course-in-Probability-A-9th-Edition/PGM110742.html Sheldon Ross' book] | ||
==Axioms of Probability== | ==Axioms of Probability== | ||
* <math>0 \leq P(E) \leq 1</math> | |||
* <math>P(S) = 1</math> where <math>S</math> is your sample space | |||
* For mutually exclusive events <math>E_1, E_2, ...</math>, <math>P\left(\bigcup_i^\infty E_i\right) = \sum_i^\infty P(E_i)</math> | |||
==Expectation and Variance== | ==Expectation and Variance== | ||
Some definitions and properties. | Some definitions and properties. | ||