# Probability - 3MM1PA

• #### Number of hours

• Lectures 18.0
• Projects -
• Tutorials 18.0
• Internship -
• Laboratory works -
• Written tests -

ECTS 3.0

## Goal(s)

Learn the language and basic concepts of probability.
Provide tools for modeling randomness.
Use of a simulation and statistical software: R.
This course will serve as a basis for the study of systems involving random phenomena encountered in most fields of engineering.
This is a prerequisite for courses like Probability for Computer Science and Principles and Meythods for Statistics.

Responsible(s)

Herve GUIOL

## Content(s)

Use and counting of sets: applications to game's theory.
Conditional probabilities, Bayes formula, Base rate fallacy.
Random variables, distributions, mean, variance and standart deviation.
Usual distributions : Bernoulli, Binomial, Geometric, Poisson, Uniform, Exponential, Gamma, Normal
Joined distibutions, Covariance, Correlation and Independence.
Simulation: by inversion, rejection method, law of large numbers, Monte Carlo method

• This lecture is scheduled in "Période(s) Académique(s) 1 and 3" **

Prerequisites

Basic notions in mathematics.

Test

Two partial examinations (E1 & E2).
Continuous assesment : CC

1. Lexique et formules
EF: Examen final en période 3
CC1 : contrôle continu de période 1
CC2 : contrôle continu de période 3
RF1 : rendu final de période 1 (distanciel)
RF2 : rendu final de période 3 (distanciel)
O : Oral (présentiel ou distanciel)

# Calcul de la note de chaque période remontée à la scolarité:

• MCC en présentiel **
NP1 = CC1
NP3 = (2EF+CC2)/3
• MCC en distanciel **
NP1 = CC1
NP3 = (RF2+CC2)/2

# Calcul des notes des deux bilans:
NB1 = NP1
NB2 = NP3

1. Notes
N1 = (NP1+2NP3)/3 # moyenne examen et contrôle continu.
N2 = ((CC1+CC2)/2+2O)/3 # note de rattrapage (la partie du contrôle continu n'est pas rattrapable)

# Calcul des notes pour les jurys session 1 et 2
NFS1 = N1
NR = N2
NFS2 = NR

Calendar

The course exists in the following branches:

• Curriculum - Work Study Education - Alternance 1ere annee
see the course schedule for 2023-2024