Compendium of Mathematics III

1. Combinatorics. Random events, operations with them, sample space.
2. Definitions of probability events - classical, geometrical, statistics. Conditional probability, Bayes' theorem.
Bernoulli independent repeated trials.
3. Discrete random variable and continuous random variable. Functions of random variables. Moment-generating function,
quantiles.
4. Discrete probability distribution.
5. Continuous probability distribution.
6. Statistics. Statistical methods, descriptive statistics
7. Observed data. Point estimators, interval estimators.
8. Statistical hypothesis testing – the testing process, interpretation, importance. Parametric tests.
9. Correlation and regression analysis.