Probability Theory & Statistics

Descriptive statistics. Probability: definitions, laws and properties. Conditional probability. Independent events. Total probability. Bayes’ theorem. Random variables and their distributions. Mean and variance and their properties. Important basic distributions. Bivariate random variables. Central limit theorem. Sampling distributions: χ2, t and F. Point estimation, confidence intervals and tests of hypotheses. The linear model: estimation and tests on parameters, coefficient of determination (R2), prediction. Applications using computers. Laboratory exercises.