Introduction, The Discrete Uniform Distribution, The Bernoulli Distribution, The Binomial Distribution, The Negative Binomial and Geometric Distributions, The Hypergeometric Distribution, The Poisson Distribution, The Multinomial Distribution, The Multivariate Hypergeometric Distribution, The Theory in Practice

Introduction, The Expected Value of a Random Variable, Moments, Chebyshev’s Theorem, Moment-Generating Functions, Product Moments, Moments of Linear Combinations of Random Variables, Conditional Expectations, The Theory in Practice

Random Variables, Probability Distributions, Continuous Random Variables, Probability Density Functions, Multivariate Distributions, Marginal Distributions, Conditional Distributions, The Theory in Practice

Basic Concepts of Probability: definition, sample space, axioms, mutual exclusivity, independence, calculating unions and intersections, Baye's Law

From when I was young I'm an indecisive child. In high school, I hesitate between different clubs; in college, I couldn't decide what my major would be until junior year. Even after I graduate, I couldn't decide between industry and academia.