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Institution: Vilniaus kolegija/University of Applied Sciences Study Programme: Software Engineering Probability Theory and Mathematical Statistics Aims To master concepts, rules, laws, task solving algorithms, mathematical computer programs of Probability Theory and Mathematical Statistics Annotation Probability Theory and Mathematical Statistics are branches of Mathematics which examine patterns of random events. As many disciplines of Mathematics they deal with the methods for designing and analyzing mathematical models of real phenomena. The subject Probability Theory and Mathematical Statistics consists of two parts. First Probability Theory concepts and definitions are presented then gained knowledge is applied in Statistics. Students are taught to collect data and using statistical computer programs structure and interpret it. Prerequisites Secondary school Mathematics knowledge Themes 1. Outcomes and events, general and geometric probability spaces, probability features. 2. Conditional probability, independent events, Bernoulli scheme, limit theorems. 3. Discrete and continuous random variables. 4. Mean and variance of random variables, correlation. 5. Law of large numbers, central limit theorem. 6. Descriptive statistics. 7. Confidence intervals tasks. 8. Hypothesis testing tasks. Preparing and presenting a project work