Probability and Statistics: Overview

This is the introductory overview video in a new series on Probability and Statistics! Probability and Statistics are cornerstones of modern data science and machine learning, and this short course will rapidly cover all of the basics and get into advanced topics. The course is roughly structured into four parts: Introduction to Probability (5 hours), Introduction to Statistics (5 hours), Advanced Probability (5 hours), and Advanced Statistics (5 hours).

Special thanks to Dr. John Quintanilla from the University of North Texas for his inspiring lectures that first got me excited about Probability and Statistics! Thanks Dr. Q!

This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company

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00:00 Intro
02:22 Applications of Probability
08:07 Divination and the History of Randomness and Complexity
10:30 Randomness and Uncertainty?
12:26 Defining Probability and Statistics
14:51 Outline of Topics: Introduction
16:36 Random Variables, Functions, and Distributions
22:30 Expected Value, Standard Deviation, and Variance
23:52 Central Limit Theorem
25:54 Preview of Statistics