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365 DS - Probability

The Basics of Probability

  • What is the probability formula?
  • Computing Expected Values
  • The Probability Frequency Distribution
  • Complements

Combinatorics

  • Fundamentals of Combinatorics
  • Computing Permutations
  • Solving Factorials
  • Computing Variations with Repetition
  • Computing Variations without Repetition
  • Computing Combinations
  • Symmetry of Combinations
  • Combinations with Separate Sample Spaces
  • Winning the Lottery
  • A Summary of Combinatorics
  • Combinatorics: Practical Example

Bayesian Inference

  • Sets and Events
  • The Different Ways Events Can Interact
  • The Intersection of Two Sets
  • The Union of Two Sets
  • Mutually Exclusive Sets
  • Dependent and Independent Events
  • Conditional Probability
  • Law of Total Probability
  • Additive Law
  • Multiplication Rule
  • Bayes Rule
  • Bayesian: Practical Example

Probability Distributions

  • An overview of distributions
  • Types of Distributions
  • Discrete Distributions
  • Discrete Uniform Distributions
  • Bernoulli Distributions
  • Binomial Distributions
  • Poisson Distributions
  • Continuous Distributions
  • Normal Distributions
  • Standardizing Normal Distributions
  • Students' T Distributions
  • Chi Squared Distributions
  • Exponential Distributions
  • Logistic Distributions
  • Probability Distributions: A Practical Example

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