These tutorial videos cover essential topics in Probability and Statistics.

Topics covered include permutations, combinations, rules of probability theory, bayes' theorem, expectation, standard deviation, probability distributions, and much more.
Section 1: Permutations

Section 2: Combinations Now that we understand permutations, we visit the topic of combinations as it relates to probability theory. This topic will be used throughout the remainder of the course. . . . View the lesson

Section 3: Fundamentals of Probability In this section we explore the fundamental topics of probability theory and probability relates to everyday life. We define the notion of the probability associated with an event and work a number of example problems to demonstrate how probability is calculated. . . . View the lesson

Section 4: Addition Rules of Probability Now that we understand what the probability of an event is mathematically, we turn our attention to understanding the situations where you should add two probabilities together. . . . View the lesson

Section 5: Conditional Probability This section focuses on understanding the situations where the probability of one event is dependent on the probability that another, separate event has occurred. We work numerous problems to gain mastery of this material. . . . View the lesson

Section 6: Bayes' Theorem In this section, we begin to study Bayes' Theorem, which is a very important involving conditional probability that has many uses for a variety of problem types. . . . View the lesson

Section 7: Mathematical Expectation We begin our study of the expectation value of a given probability experiment. Numerous examples are provided to explain what the expected value is and how to calculate it. . . . View the lesson

Section 8: Mean, Median, and Mode In this section, we study the concepts of mean, median, and mode. Care is taken to explain the difference between these concepts and how to calculate them, as their definitions are similar. . . . View the lesson

Section 9: Standard Deviation and Variance Here we introduce the very important concepts of Standard deviation and variance. We make the topic more approachable by explaining these concepts in terms of grades given to students in a class. . . . View the lesson

Section 14: The Normal Probability Density We now introduce the concept of the probability density and heavily discuss the normal probability distribution, which is one of the most useful concepts in the study of statistics. . . . View the lesson