- Knowing and understanding of fundamental concepts of probability theory (k1,k2)
- Proving and explaining concepts of probability theory (k1,k2)
- Solving problems using methods and concepts of probability theory (k3,k4, k5)
- Applying concepts of probability theory for statistical modelling (k3,k4)
- Performing simulation studies for problems in probability theory with the statistics software R (k2,k3)
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- Basic concepts of probability calculus
- Univariate and multivariate probability distributions
- Transformation of uni- and multivariate random variables
- Moments of random variables and moment generating functions
- Stochastic dependence and independence
- Distribution of sums of random variables
- Convergence concepts
- Central limit theorem
- Simulation of random variables
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