Statistics

1. Combinatorics. Random experiment. Random event. Random event operations. Disjoint events. Sample space.
2. Definition of probability - axiomatic, classical, geometrical, statistical.
3. Conditional probability. Total probability. Bayes' theorem. Repeated attempts.
4. Random variable, discrete random variable, continuous random variable. Probability mass function, probability density function, cumulative distribution function.
5. Characteristics of random variables.
6. Basic types of probability distribution of discrete random variable. Basic types of probability distribution of continuous random variable.
7. Random vector, probability distribution, numerical characteristics.
8. Mathematic statistics. Statistical characteristics. Exploratory data analysis.
9. Population, random sampling, sample characteristics.
10. Point and interval estimation.
11. Hypothesis testing. Parametric tests. Nonparametric tests.
12. Verifying the type of statistical distribution. Transform into normal distribution.
13. Two-dimensional statistical file. Regression and correlation analysis.