Random variables and probability distributions

Random Variables

Basic idea and definitions of random variables

Discrete and continuous random variables

Defining discrete and continuous random variables. Working through examples of both discrete and continuous random variables.

Probability Density Functions

Probability density functions for continuous random variables.

Expected Value: E(X)

Expected value of a random variable

Law of Large Numbers

Introduction to the law of large numbers

Term Life Insurance and Death Probability

Understanding an insurance company's sense of my chances of dying.

Binomial Distribution 1

Introduction to the binomial distribution

Binomial Distribution 2

More on the binomial distribution

Binomial Distribution 3

Basketball binomial distribution

Binomial Distribution 4

Using Excel to visualize the basketball binomial distribution

Expected Value of Binomial Distribution

Expected value of a binomial distributed random variable

Poisson Process 1

Introduction to Poisson Processes and the Poisson Distribution.

Poisson Process 2

More of the derivation of the Poisson Distribution.