Mastering Probability and Statistics

Use discrete and continuous random variables and understand how they interact. ,Deal with conditional probabilities and conditional distributions. ,Obtain understanding into some limiting results, in particular the Central Limit Theorem. ,Make and interpret numerical and graphical summaries of datasets and find the connection to concepts from probability theory. ,Several techniques to find estimators and assess their quality. ,Perform inferential statistics: hypothesis testing, confidence intervals and linear regression, also in non-standard situations. ,Use the R software package to apply all these statistical techniques on real datasets.