# Fiches de cours

## Probabilities and statistics I

#### Enseignant(s) :

Goldstein Darlene

English

#### Summary

Introduction to notions of probability and basic statistics.

#### Content

• Descriptive statistics
• Combinatorics
• Probability density and cumulative distribution function
• Conditional probability and independence
• Law of total probability, Bayes' rule
• Discrete random variables, expected value and variance
• Discrete laws: binomial, Poisson
• Continuous random variables, expected value and variance
• Continuous laws: uniform, normal, exponential
• Transformations of random variables, standardization
• Joint distributions
• Central Limit Theorem
• Confidence intervals
• Maximum Likelihood estimation
• Introduction to hypothesis testing

#### Learning Outcomes

By the end of the course, the student must be able to:
• Demonstrate understanding of course material
• Apply understanding to exercise/real life scenarios

#### Transversal skills

• Use a work methodology appropriate to the task.

#### Teaching methods

Lectures and group exercises

#### Expected student activities

Students should be prepared to participate in their learning by participating during lecture, asking questions, and contributing to exercise sessions

#### Assessment methods

Midterm test and written exam

### Dans les plans d'études

• Semestre
Automne
• Forme de l'examen
Ecrit
• Crédits
4
• Matière examinée
Probabilities and statistics I
• Cours
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines
• Passerelle HES - SIE, 2019-2020, Semestre automne
• Semestre
Automne
• Forme de l'examen
Ecrit
• Crédits
4
• Matière examinée
Probabilities and statistics I
• Cours
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines

### Semaine de référence

LuMaMeJeVe
8-9
9-10
10-11
11-12
12-13
13-14  CM1
14-15
15-16  CM1
16-17
17-18
18-19
19-20
20-21
21-22

Cours
Exercice, TP
Projet, autre

### légende

• Semestre d'automne
• Session d'hiver
• Semestre de printemps
• Session d'été
• Cours en français
• Cours en anglais
• Cours en allemand