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Probability, Counting, and Normal Distributions: Structured Study Notes for Statistics Students

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Basic Concepts of Probability

  • Percorso guidato
    Introduction to Probability
    5:37

Complements

  • Percorso guidato
    Complementary Events
    4:23

Addition Rule

  • Percorso guidato
    Probability of Mutually Exclusive Events
    5:14
  • Percorso guidato
    Probability of Non-Mutually Exclusive Events Example
    2:57
  • Percorso guidato
    Probability of Non-Mutually Exclusive Events
    5:14

Multiplication Rule: Independent Events

  • Percorso guidato
    Probability of Multiple Independent Events
    05:54

Multiplication Rule: Dependent Events

  • Percorso guidato
    Conditional Probability Rule Example 1
    03:06
  • Percorso guidato
    Multiplication Rule: Dependent Events
    05:17
  • Percorso guidato
    Conditional Probability Rule
    03:53

Bayes' Theorem

  • Percorso guidato
    Bayes' Theorem Example 1
    02:32
  • Percorso guidato
    Bayes' Theorem
    05:10

Fundamental Counting Principle

  • Percorso guidato
    Fundamental Counting Principle
    04:04

Counting

  • Percorso guidato
    Introduction to Permutations
    07:11
  • Percorso guidato
    Permutations of Non-Distinct Objects
    06:37
  • Percorso guidato
    Counting Example 1
    03:59

Binomial Distribution

  • Percorso guidato
    Finding Binomial Probabilities Using TI-84 Example 1
    03:33
  • Percorso guidato
    Finding Binomial Probabilities Using TI-84 Example 2
    04:20
  • Percorso guidato
    Mean & Standard Deviation of Binomial Distribution
    03:28

Hypergeometric Distribution

  • Percorso guidato
    Introduction to the Hypergeometric Distribution
    05:15
  • Percorso guidato
    Introduction to the Hypergeometric Distribution Example 1
    03:44

Uniform Distribution

  • Percorso guidato
    Uniform Distribution
    06:06
  • Percorso guidato
    Uniform Distribution Example 1
    02:50

Standard Normal Distribution

  • Percorso guidato
    Z-Scores from Probabilities
    08:50
  • Percorso guidato
    Probabilities Between Two Values
    03:50
  • Percorso guidato
    Finding Standard Normal Probabilities using z-Table
    09:47

Non-Standard Normal Distribution

  • Percorso guidato
    Finding Z-Scores for Non-Standard Normal Variables Example 1
    06:21
  • Percorso guidato
    Finding Values of Non-Standard Normal Variables from Probabilities
    04:05
  • Percorso guidato
    Finding Z-Scores for Non-Standard Normal Variables
    03:17

Sampling Distribution of the Sample Mean and Central Limit Theorem

  • Percorso guidato
    Central Limit Theorem Example 1
    02:33
  • Percorso guidato
    Central Limit Theorem
    05:14
  • Percorso guidato
    Sampling Distribution of Sample Mean
    06:53