Hello and Welcome to this introductory Lecture in Probability!

These Course Notes are a complement to the Lecture Probability I.

## Contents

The Lecture is divided in the following Chapters, and each Chapter contains several themes.

Number Name Themes Status
1 Introduction Intro, Mathematics reminder and Combinatorics. ☑️
2 Elements of Set Theory For Probability Random variables, Trees, Venn diagram, Conditional probability, Independence & Bayes’ theorem. ☑️
3 Axiomatic Foundations of Probability Probability Axioms, Illustrations of use ☑️
4 Discrete random variables Definitions, Expected value and variance, Binomial, Poisson, Negative binomial and Hypergeometric 🔧
5 Continuous random variables Definitions, Expected value and variance, Cumulative distribution function (cdf) and Probability density function (pdf), Some important examples: Uniform, Exponential, Gamma, Normal, logNormal, Student’s t, Relationships 🔧
6 Limit Theorems Weak Law of Large Numbers (WLLN) and Central Limit Theorem (CLT) 📝
7 Bivariate Discrete Random Variables 📝
8 Elements of Simulation Numerical methods for the simulation of random variable with a given CDF. 📝
• ☑️ = Ready (almost surely with typos).
• 🔧 = Fine-tuning.
• 📝 = Writing.

## Practical information

### Who we are

##### Daniel FLORES AGREDA
###### Data Science Course Developer and Instructor
Daniel.Flores@unige.ch
##### Edoardo VIGNOTTO
###### Teaching and Research Assistant
Edoardo.Vignotto@unige.ch
##### Davide LA VECCHIA
###### Associate Professor at Geneva School of Economics and Management
Davide.Lavecchia@unige.ch
##### Manon FELIX
###### Teaching and Research Assistant, PhD. student at Geneva School of Economics and Management
Manon.Felix@unige.ch
##### Alice Scattolin
###### Teaching and Research Assistant, PhD. student at Geneva School of Economics and Management
Alice.Scattolin@unige.ch

### Instructors

• Davide La Vecchia, Associate Professor at Geneva School of Economics and Management
• M. Manon Felix, Teaching and Research Assistant, PhD. student at Geneva School of Economics and Management
• M. Alice Scattolin, Teaching and Research Assistant, PhD. student at Geneva School of Economics and Management

### Lectures

The Lectures will take place in the room MR280 on Thursday from 12h15 to 14h00. For those students who cannot attend the lectures, a recording will be available on Mediaserver.

### Exercises

Seminars will take place on Thursday from 16h15 to 18h00 in the room MS130. The seminars are not recorded.

### Tutorials

Every two week (starting from the third one), tutorials will take place on Wednesday from 16h15 to 18h00 in the room MS160. The tutorials are not recorded.