Cognitive skills (knowledge): Properties of the probability measure. Conditional probability. Independence of events. Basic tools of counting. Elementary calculus of probabilities. Discrete random variables. Probability mass functions. Continuous random variables. Probability distribution functions. Probability density functions. Calculus and interpretation of expected values and variances of random variables. Higher order moments. Moment generating function. Binomial model, hypergeometric, negative binomial, Poisson, uniform, exponential, normal and gamma. Stochastic modeling.
Transversal competences: Capacity development and model building and validation. Identification of relevant information to solve a problem. Visualization and interpretation solutions. Identification and location of logical errors. Logical argumentation in decision-making. Application of knowledge into practice.