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Probability and Statistics Help Tutorial Videos

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
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
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
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
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
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
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
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
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 10: Random Variables and Introduction to Probability Distributions
Section 10: Random Variables and Introduction to Probability Distributions In this section we begin to move into the realm of statistics as we introduce the notion of the random variable and the probability distribution. . . . View the lesson
Section 11: The Binomial Probability Distribution
Section 11: The Binomial Probability Distribution Now that we understand the idea behind the probability distribution, we study a very important specific type of distribution known as the Binomial Probability Distribution. . . . View the lesson
Section 12: Mean and Standard Deviation of the Binomial Distribution
Section 12: Mean and Standard Deviation of the Binomial Distribution We now work problems specific to calculating the mean and standard deviation of the Binomial Distribution. . . . View the lesson
Section 13: The Poisson Probability Distribution
Section 13: The Poisson Probability Distribution Here we study the Poisson probability distribution, which is used to calculate the probability of an event happening within a given amount of time. . . . View the lesson
Section 14: The Normal Probability Density
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