Unit 2: Probability and distributions

Reading:

Learning objectives:

Additional resources:

Videos:

All videos are best viewed in full screen.

Basics of probability:

This video discusses basic definitions of probability, sample space, outcome, etc.

Union of events and the addition rule:

This video discusses calculating probabilities of union of events (A or B) using the addition rule, for mutually exclusive (disjoint) and non-mutually exclusive (intersecting) events.

Independent events, intersection of events, multiplication rule, and Bayes' Theorem:

This video discusses calculating probabilities of intersection (A and B) of independent and dependent events using the multiplication rule and Bayes' Theorem.

Probability trees:

This video discusses calculating conditional probabilities of using probability trees and Bayes' Theorem.

Bayes' Theorem, worked out example:

This is a somewhat slower discussion of calculating conditional probabilities using Bayes' Theorem.

Another example using Bayes' Theorem:

Yet another example of calculating conditional probabilities using Bayes' Theorem.

Normal distribution - finding probabilities:

This video discusses finding probabilities using the normal distribution.

Normal distribution - finding cutoff points:

This video discusses finding cutoff points corresponding to given probabilities for normally distributed variables.

Normal distribution and 68-95-99.7% rule:

This video discusses the normal distribution and the 68-95-99.7% rule (also called the empirical rule).

Z scores:

These two videos below discuss properties of Z scores and how to use them to calculate normal probabilities..

Binomial distribution - finding probabilities:

This video discusses finding probabilities using the binomial distribution.

Binomial distribution:

Another video on the binomial distribution.

Mean and standard deviation of the binomial distribution:

This video discusses finding the mean and standard deviation of the binomial distribution.