Combinatorics and probability. Random events, operations with them, sample space.
Definitions of events' probability - classical, geometrical, statistics. Conditional probability. Total probability and independent events.
Random variable and its characteristics.
Basic types of probability distributions of discrete random variables.
Basic types of probability distributions of continuous random variables.
Random vector, probability distribution, numerical characteristics.
Statistical file with one factor. Grouped frequency distribution.
Statistical file with two factors.
Regression and correlation.
Random sample, point and interval estimations of parameters.
Hypothesis testing.iables: two-dimensional integrals, three-dimensional integrals,
line integral of the first and the second kind.
Probabilities of random events: axioms of probability,
conditional probability, independence. Random variables: discrete random
variables, continuous random variables, expected values. Important practical
distributions of discrete and continuous random variables.