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Probability ​

Content ​

  • Sample space
  • event
  • axioms of Kolmogorov
  • combinatorial probability
  • conditional probability
  • Bayes rule
  • independence
  • random variable
  • expectation
  • variance
  • standard deviation
  • density
  • (cumulative) distribution function and distributions: binomial, hypergeometric, geometric, Poisson, exponential, uniform and normal, joint and conditional distributions
  • correlation
  • the distribution of the sum and the mean of independent variables
  • the Central Limit Theorem and its applications such as the normal approximation of binomial probabilities.