Probability Theory

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Objective

The aim of the course is to introduce the area of probability theory and explain the fundamental concepts.

Course Contents

  • Accidental experiment, samples and possibilities.
  • Definitions of possibilities.
  • Finite samples with results of equal possibilities.
  • Provisions, combinations, binomial theorem.
  • Committed probability.
  • The multiplicative theorem.
  • Total probability and Bayes theorem.
  • Independent trials.
  • Random variables, probability distributions.
  • Parameters of distributions, interrelation of distribution accidental variables.
  • One-dimensional distributions.
  • Continuous distributions.
  • Generators of proneness; probabilities generators.
  • Durrett R. (2004): Probability: Theory and Examples, 3rd Edition, Duxbury Press.