Part 5: Probability & Random Variables

Statistical Concepts Covered

  • Definition & Properties of Probability

  • Probability Models

  • Law of Large Numbers

Relevant Topics Covered

  • Baseball

  • The “Curse” of the Home Run Derby


Statistical Concepts Covered

  • Unions & Intersections

  • The Addition Rule

  • Two-Way Tables, Venn Diagrams

Relevant Topics Covered

  • Do people lie in their online dating profiles?


Statistical Concepts Covered

  • Conditional Probability

  • Independence & Multiplication Rule

  • Tree Diagrams

Relevant Topics Covered

  • Do people lie in their online dating profiles?


Statistical Concepts Covered

  • Successive Independent Events

  • “At Least One” Scenarios

  • Sampling Without Replacement

Relevant Topics Covered

  • Kobe’s 81-Point Game

  • “Hot Hand” Theory


Statistical Concepts Covered

  • Discrete Random Variables

  • Probability Distributions

  • Expected Value

Relevant Topics Covered

  • Gambling

  • How Casinos Make $$$


Statistical Concepts Covered

  • Variance & Standard Deviation

  • Transforming Random Variables

  • Combining Random Variables

Relevant Topics Covered

  • Gambling

  • How Casinos Make $$$


Statistical Concepts Covered

  • Geometric Distribution

  • Binomial Distribution

  • PDF vs. CDF

Relevant Topics Covered

  • Basketball

  • “Granny” Free Throws

 
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Part 4: Sampling & Experiments

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Part 6: Sampling Distributions