1 Random event, experiment, definition of probability, conditional probability, independent events and its probability.
2 Random variable. Discrete random variable, probability function, distribution function of a discrete random variable. Numerical chracteristics. Discrete uniform distribution, Poisson distribution, binomial distribution, hypergeometric distribution.
3 Continuous random variable. Probability density function, distribution function of a continuous random variable. Numerical characteristics. Uniform distribution, exponential distribution, normal distribution.
4 Population. Data sample, frequency distributions. Random sample and empirical characteristics. Point and interval estimates of parameters, method of moments and maximum likelihood method.
5 Correlation and regression analysis, covariant and correlation matrix. Approximation by the method of least squares.
6 Tests of hypotheses. F-test of the equality of two variances, unpaired and paired two-sample t-tests, Kolmogorov–Smirnov test, two-sample Kolmogorov–Smirnov test, Dixon's Q test, Grubbs' test for outliers.
7 Reserve.
2 Random variable. Discrete random variable, probability function, distribution function of a discrete random variable. Numerical chracteristics. Discrete uniform distribution, Poisson distribution, binomial distribution, hypergeometric distribution.
3 Continuous random variable. Probability density function, distribution function of a continuous random variable. Numerical characteristics. Uniform distribution, exponential distribution, normal distribution.
4 Population. Data sample, frequency distributions. Random sample and empirical characteristics. Point and interval estimates of parameters, method of moments and maximum likelihood method.
5 Correlation and regression analysis, covariant and correlation matrix. Approximation by the method of least squares.
6 Tests of hypotheses. F-test of the equality of two variances, unpaired and paired two-sample t-tests, Kolmogorov–Smirnov test, two-sample Kolmogorov–Smirnov test, Dixon's Q test, Grubbs' test for outliers.
7 Reserve.