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Probability, Random Variables, and Sampling Distributions: Structured Study Notes for Statistics

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Basic Concepts of Probability

  • Guided course
    Introduction to Probability
    5:37

Fundamental Counting Principle

  • Guided course
    Fundamental Counting Principle
    04:04

Counting

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

Binomial Distribution

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

Poisson Distribution

  • Guided course
    Introduction to the Poisson Distribution
    04:00
  • Guided course
    Finding Poisson Probabilities Using TI-84
    03:37
  • Guided course
    Using the Poisson Distribution to Approximate the Binomial Distribution
    04:09

Standard Normal Distribution

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

Sampling Methods

  • Guided course
    Sampling Methods Example 2
    03:07
  • Guided course
    Simple Random Sampling Example 1
    01:30
  • Guided course
    Sampling Methods
    05:27

Sampling Distribution of the Sample Mean and Central Limit Theorem

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