Probability and Statistics

Definition of statistical experiments, sample space, events, operations on events, combinatorial analysis (permutations, combinations and counting rules), definition of the probability, probability axioms, conditional probability, independence of events and Bayes theorem, definition of the random variable, discrete and continuous random variables, discrete probability distributions (binomial distribution, Poisson distribution, geometric distribution, hypergeometric distribution), continuous probability distributions (uniform distribution, normal distribution and exponential distribution), introduction and overview of statistics, data description using measures of central tendency, measures of dispersion, measures of position,  sampling distribution, central limit theorem, interval estimation, confidence interval, and hypothesis testing.