Projected Outcome: The student is qualified to apply probability theory, mathematical statistics, and reliability theory in general and in forensics. He will be able to display and analyze data in various ways, apply statistical conclusions, identify and analyze specific distributions, make a sample and conduct sample analysis, calculate statistics on the basis of the sample. To select the type of research data and the mathematicalstatistical procedures required for it a certain problem, as well as to actively make decisions based on statistical analysis and conclusions. Also, a student is qualified for the application of mathematicalstatistical methods in scientific research and in the adoption of certain scientificresearch conclusions in various scientific fields and in forensic scientific research.

Course Contents/Structure
Theoretical education: Basic concepts of probability theory. Random events, event algebras, probability definitions, conditional probability, formula of total probability, Bayes’ formula. Bernoulli's formula. Random variable. Twodimensional random variable. Distribution of the random variable function. Basic distributions of discrete type. Basic distribution of continuous type. Laws of large numbers and central boundary theorem. Random processes and Marks chains. Sample, population, basic statistics and their distribution. Statistical models applied to problem solving predictions, classifications and groupings of highdimensional data in the processes of indepth analysis. Selected linear models, selected multivariate research techniques. Point and interval estimates of parameters. Testing hypothesis: parametric and nonparametric tests. Variance analysis. Regression and correlation. Planning a statistical experiment. Random numbers. Method Monte Carlo. Modeling of random variables. Basic concepts of reliability theory. Reliability active element to first failure. Reliability of the restored element. Reliability of the system.
Practical training: Solving tasks from theoretical education topics.

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