In particular the following contents are mediated:

• Discrete probability ranges and measures
• Discrete and continuous random variables and their distributions, important examples
• Expected value, (co-)variance, correlation
• Conditional probability, independence
• Weak law of large numbers
• Central limit theorem
• Data analysis and descriptive statistics: histograms; empirical distribution; characteristics of sample distributions; examples of misleading descriptive statistics; linear regression
• Elementary terms and techniques of testing and estimating: maximum likelihood principle; confidence interval; hypothesis testing; first and second type errors

• E. Behrends: Elementary Stochastics, Springer, 2013
• H.-O. Georgii: Stochastics: Introduction to Probability Theory and Statistics, De Gruyter, 2007
• U. Krengel: Introduction to probability theory and statistics, Vieweg, 2005
• D. Meintrup, S. Schäffler, Stochastics: Theory and Applications, Springer, 2005.

Most of the books listed below are available online at the UB. For this purpose, there is an extensive hand apparatus for stochastics in the mathematics library.