Probability

Published: 26 April 2023
on channel: Derek Banas

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I took everything in a standard 500 page text book on Probability and put it in this one video. I will cover every formula, but also will solve a real world problem with each formula.

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Here is a Table of Contents that will allow you to jump around in the video and learn what ever you are interested in.

TABLE OF CONTENTS

0:00 Intro
01:31 Probability Definitions
01:44 Union
02:12 Intersection
02:39 Complement
02:59 Conditional Probability
04:30 Contingency Table
04:48 Addition Rule
05:40 Joint Probability
06:00 Dependent vs. Independent
06:45 Independent Events
07:17 Mutually Exclusive Events
07:44 Venn Diagrams
08:39 Tree Diagrams
09:48 Total Probability
11:37 Bayes' Theorem
14:09 Combinatorics
14:22 Permutations
15:46 Combinations
16:57 Poker Probabilities
19:26 Which to use?
19:51 Variations
20:30 Types of Variables
21:00 Discrete Uniform Distribution
21:05 Probability Mass
22:03 Variance
22:35 Relative Frequency Histogram
22:44 Cumulative Distribution
23:03 Expected Value
24:00 Standard Deviation
24:25 Normal Distribution
25:35 Z Score
26:53 Negative Z Score
27:25 Reverse Z Score
28:08 Confidence Intervals
29:58 Binomial Probability
31:35 Poisson Distribution
32:55 Geometric Probability
35:00 Central Limit Theorem
35:26 Negative Binomial Probability
36:15 Which to use?
36:46 Negative Binomial Formula
38:05 Hypergeometric Distribution
40:58 Continuous Probability
42:37 Continuous Probability Formula
43:16 Exponential Distribution
44:34 Exponential Formulas

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