Basic concepts such as probability, conditional probability and independent events. Discrete and continuous random variables, in particular one dimensional random variables. Measures of central tendency, dispersion and dependence of random variables and data sets. Common distributions and models, such as the normal, binomial and Poisson distributions. The Central limit theorem and the Law of large numbers.
Descriptive statistics. Point estimates and general methods of estimation, such as maximum likelihood estimation and the method of least squares. Basic decision theory and Bayesian inference. Confidence intervals. Statistical hypothesis testing. Linear regression.