Khan Academy on a Stick
Random variables and probability distributions
Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes.
-
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.
-
Constructing a probability distribution for random variable
-
Probability density functions
Probability density functions for continuous random variables.
Random variables and probability distributions
-
Term life insurance and death probability
Understanding an insurance company's sense of my chances of dying.
-
Getting data from expected value
-
Expected profit from lottery ticket
-
Expected value while fishing
-
Comparing insurance with expected value
-
Law of large numbers
Introduction to the law of large numbers
Expected value
Now that we know what a random variable is, we can think about expected value. As we'll see, it can be viewed as a probability-weighted average of possible outcomes!
-
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
Binomial distribution
-
Poisson process 1
Introduction to Poisson Processes and the Poisson Distribution.
-
Poisson process 2
More of the derivation of the Poisson Distribution.