Equip yourself with the tools to quantify and understand chance.
Random Variable Applications
Expected Value Definition and Properties
Expected Value Calculations
Linearity of Expectation
Variance Definition and Properties
Variance and Standard Deviation
Uniform Discrete Distribution
Applications of Discrete Distributions
Expected Value and Variance
Random variables and their distributions are the best tools we have for quantifying and understanding unpredictability. This course covers their essential concepts as well as a range of topics aimed to help you master the fundamental mathematics of chance. Upon completing this course, you'll have the means to extract useful information from the randomness pervading the world around us.
- Bernoulli Trials
- Binomial Distribution
- Conditional Expectations
- Density Functions
- Discrete and Continuous Distributions
- Discrete and Continuous Random Variables
- Expected Value
- Joint Distributions
- Normal Distribution
- Standard Deviation
Prerequisites and next steps
You'll need an understanding of basic algebra, including functions, as well as fundamental probability. Calculus will be helpful for later chapters on continuous random variables.