数学学习--概率

Joint, marginal, and conditional distributions (discrete and continuous)

Law of Large Numbers and Central Limit Theorem

Expectation of a Continuous r.v., the means and variances of Uniform Normal and Exponent r.v.

Poisson, the Expectation and Variance of Poisson, Poisson Approximation, Sum of Independent Poissons

Variance, the Properties of Variance, Geometric and Negative Binomial Variance, Binomial Variance

Indicator Random Variables, the Fundamental Bridge, LOTUS

Geometric and Negative Binomial, Geometric Expectation, First Success Expectation, Negative Binomial

Expectation of a Discrete r.v., Linearity of Expectation, Binomial and Hypergeometric Expectation

Exponential Distribution, Memoryless Property, Poisson Process

Universality of the Uniform, Percentiles, Standard Normal Distribution, Normal Distribution

Probability Density Function, Continuous r.v., Uniform Distribution

Functions of Random Variables, Independence of Random Variables, i.i.d.

Discrete Uniform Distribution, Cumulative Distribution Functions

Bernoulli Distribution, Indicator Random Variable, Binomial Distribution, Binomial Distribution

Random Variables, Discrete Random Variables, Probability Mass Functions, Valid PMFs

Conditioning as A Tool: Condition on What You Wish You Knew, Condition on the First Step

Conditional Probabilities are Probabilities, Independence of Events

Conditional Probability, Bayes' Rule and the Law of Total Probability

Story Proof, General Definition of Probability, Properties of Probability

Sample Space, Event, Naive Definition of Probability, Sampling, Binomial Coefficient