This material's main objective is to give the students the techniques required to analyze and explain random phenomena. After studying enumerative combinatorics which constitute a benchmark to probability calculations, the concept of independent events is discussed. Then, the study of random variables and the main probability laws (Bernoulli, binomial, Poisson, geometric, hypergeometric, uniform, Gaussian, exponential…) are detailed. At the end, the weak law of large numbers and the central limit theorem are given in order to enable the students to pursue statistics courses.

Temps présentiel : 45 heures

Charge de travail étudiant : 150 heures

Méthode(s) d'évaluation : Examen écrit

Référence :
Probability and Statistics for Engineering and the Sciences, by Jay Devore, 9th Edition