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Mathematics III

Summary

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.

Literature

Kučera, Radek: Mathematics III, VŠB – TUO, Ostrava 2005, ISBN 80-248-0802-1
http://mdg.vsb.cz/portal/en/Statistics1.pdf

Advised literature

Kučera, Radek: Mathematics III, VŠB – TUO, Ostrava 2005, ISBN 80-248-0802-1
http://mdg.vsb.cz/portal/en/Statistics1.pdf


Language of instruction čeština, čeština, angličtina, angličtina, čeština
Code 230-0203
Abbreviation BcM III
Course title Mathematics III
Coordinating department Department of Mathematics
Course coordinator RNDr. Radomír Paláček, Ph.D.