Introduction to Combinatorics. Introduction to Probability Theory. Events and elementary Set Theory. Conditional Probability. Bayes’ Rule. Discrete and Continuous Random Variables. The Distribution of Discrete and Continuous Random Variables. Joint Distribution of Discrete and Continuous Random Variables. Mean, Variance and Moments of a Random Variable. Continuous Distributions. Sampling Distributions. Relationships of Distributions. Estimators (Moments method, Maximum Likelihood method, Least Squares method). Confidence Intervals. Hypothesis tests. The analysis of Variance. Simple Linear Regression. Confidence Intervals and Hypothesis tests for the coefficients of the linear model. Predictions using linear models. Multiple Regression.