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Probability distribution

3:43

The Mean (expected value) of a Discrete Probability Distribution

3:06

Notes on Probability Distribution

1:10

Overview of Probability Distribution

3:01

Lesson 15 - Finding Probability Using a Normal Distribution, Part 4

3:15

Mean of a Probability Distribution

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment. In more technical terms, the probability distribution is a description of a random phenomenon in terms of the probabilities of events. For instance, if the random variable X is used to denote the outcome of a coin toss, then the probability distribution of X would take the value 0.5 for X = heads, and 0.5 for X = tails. Examples of random phenomena can include the results of an experiment or survey.
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    • Introduction 

    • Terminology 

    • Cumulative distribution function 

    • Discrete probability distribution 

    • Continuous probability distribution 

    • Some properties 

    • Andrey Kolmogorov 

    • Random number generation 

    • Common probability distributions and their applications