Part 5: Probability & Random Variables
Covers: Topics 4.1 - 4.12 of the Course & Exam Description (CED)
Stats Content (CED Topics 4.1-4.3)
Definition & Properties of Probability
Probability Models
Law of Large Numbers
Relevant Context
Baseball
The “Curse” of the Home Run Derby
Stats Content (CED Topics 4.4 & 4.6)
Unions & Intersections
The Addition Rule
Two-Way Tables, Venn Diagrams
Relevant Context
Do people lie in their online dating profiles?
Stats Content (CED Topics 4.5-4.6)
Conditional Probability
Independence & Multiplication Rule
Tree Diagrams
Relevant Context
Do people lie in their online dating profiles?
Stats Content (CED Topics 4.5-4.6)
Successive Independent Events
“At Least One” Scenarios
Sampling Without Replacement
Relevant Context
Kobe’s 81-Point Game
“Hot Hand” Theory
Stats Content (CED Topics 4.7-4.8)
Discrete Random Variables
Probability Distributions
Expected Value
Relevant Context
Gambling
How Casinos Make $$$
Stats Content (CED Topics 4.8-4.9)
Variance & Standard Deviation
Transforming Random Variables
Combining Random Variables
Relevant Context
Gambling
How Casinos Make $$$
Stats Content (CED Topics 4.10-4.12)
Geometric Distribution
Binomial Distribution
PDF vs. CDF
Relevant Context
Basketball
“Granny” Free Throws