3. Concepts of Probability

Topics and Notes

1. Probability concepts
   • A. Experiments, sample space, and events
   • B. Definitions of probability: classical and relative frequency approaches.
2. Discrete Probabilities based on Contingency Tables
3. Concepts of Random Variables
   • A. Definition of a random variable
   • B. Characterizing discrete random variables
   • 1). Explicit definition
   • 2). Probability mass function (PMF)
   • 3). Expectation and variance
   • C. Characterizing continuous random variables
   • 1). Explicit definition
   • 2). Probability density function (pdf)
   • 3). Expectation and variance
   • D. Uniform distribution
4. Lecture Note
• a. [Lecture Note] Concepts of probability and random variables: HTML PDF

Practice and Interactive Apps

• a. Online Practice WEB LINK
• b. [Optional] Practice example in 5.1 and 6.1 of Navidi's textbook