Probabilities et Statistics (04_XBPST)
- Coefficient : 2
- Hourly Volume: 45h (including 18h supervised)
- CTD : 18h supervised
- Out-of-schedule personal work : 27h
AATs Lists
Description
- discrete and continuous random variables ;
- usual laws (uniform, Bernoulli, binomial, Poisson, normal, exponential) ;
- calculating expectations and variances;
- functions of random variables ;
- independent random variables;
- conditional probabilities;
- asymptotic behavior (law of large numbers, central limit theorem).
Acquis d'Apprentissage visés (AAv)
AAv1 [heures : 25, B1, B2, B3] : At the end of the Probability and Statistics course, students will be able to use classical probability laws (discrete and continuous) and approximation results (law of large numbers, central limit theorem) to model a situation with one or more precisely defined random variables and determine their law.
AAv2 [heures : 20, B1, B2, B3] : At the end of the Probability and Statistics course, students will be able to answer computational questions about random variables, including calculating their distribution.
Modalités d'évaluation
Several evaluation periods:
- A long assessment at the end of the semester
- Continuous assessment during machine labs
- One or two average assessments during the semester
Mots clés
Random variables, expectation, variance, independence, limit theorem, modeling
Pré-requis
Probability (S1,S2,S3), integral calculus (S2 and S4)