Probabilities

Sample spaces, events, probability, products and sample spaces, finite sample spaces, counting rules, conditional probability, the multiplication rule, the law of total probability and Bayes’ rule, independence. Discrete random variables: Random variables, the probability distribution of a discrete random variable, functions of discrete random variables, the Bernoulli and Binomial distribution, the Geometric distribution, the Hypergeometric distribution, the negative Binomial distribution, the Poison distribution; Continues random variables: Probability density functions, functions of continues random variables, the uniform distribution, the exponential distribution, the normal distribution;