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.