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What you will learn

• 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.