# InfoCoBuild

## Math E-102 - Sets, Counting, and Probability

Math E-102 - Sets, Counting, and Probability (Fall 2005, Harvard Extension School). Instructor: Professor Paul G. Bamberg. This online math course develops the mathematics needed to formulate and analyze probability models for idealized situations drawn from everyday life. Topics include elementary set theory, techniques for systematic counting, axioms for probability, conditional probability, discrete random variables, infinite geometric series, and random walks. Applications to card games like bridge and poker, to gambling, to sports, to election results, and to inference in fields like history and genealogy, national security, and theology. The emphasis is on careful application of basic principles rather than on memorizing and using formulas.

 Lecture 07 - Random Variables

Discrete Random Variables; Event Space for a DRV; Bridge and Poker; Binomial Distribution; Geometric Distribution; Negative Binomial Distribution; Exponential Function; Poisson Distribution; Distribution Function; Distribution Examples; Function of Random Var; First Computer Project.

Go to the Course Home or watch other lectures:

 Lecture 01 - Probability, Intuition, and Axioms Lecture 02 - Probability by Counting and Inclusion-Exclusion Lecture 03 - Principles of Counting Lecture 04 - Conditional Probability Lecture 05 - Conditional Craps Lecture 06 - Lying Witnesses and Simpson's Paradox Lecture 07 - Random Variables Lecture 08 - Expectation I Lecture 09 - Expectation II Lecture 10 - Tartan Dice; Terminated Geometric; Coin Tossing Lecture 11 - Gambling Lecture 12 - Expected Lead Time; Bijections Between Paths Lecture 13 - Variables Lecture 14 - Inequality Lecture 15 - Questions