| First cycle degree courses | Second cycle degree courses | Single cycle degree courses |
| School of Science | ||
| STATISTICS FOR ECONOMICS AND BUSINESS | ||
Course unit
INTRODUCTION TO PROBABILITY (Ult. numero di matricola pari)
SCP4063485, A.A. 2014/15
Information concerning the students who enrolled in A.Y. 2014/15
INTRODUCTION TO PROBABILITY (Ult. numero di matricola pari)
SCP4063485, A.A. 2014/15
Information concerning the students who enrolled in A.Y. 2014/15
Information on the course unit
| Degree course |
First cycle degree in STATISTICS FOR ECONOMICS AND BUSINESS SC2095, Degree course structure A.Y. 2014/15, A.Y. 2014/15 |
 bring this page with you |
|---|---|---|
| Number of ECTS credits allocated | 9.0 | |
| Type of assessment | Mark | |
| Course unit English denomination | INTRODUCTION TO PROBABILITY | |
| Website of the academic structure | http://scienzestatistiche.scienze.unipd.it/2014/laurea_statisticaeconomiaimpresa | |
| Department of reference | Department of Statistical Sciences | |
| Mandatory attendance | No | |
| Language of instruction | Italian | |
| Branch | PADOVA | |
| Single Course unit | The Course unit can be attended under the option Single Course unit attendance | |
| Optional Course unit | The Course unit can be chosen as Optional Course unit |
Lecturers
| Teacher in charge | PAOLO DAI PRA | ||
|---|---|---|---|
| Other lecturers | ANGELA GRASSI | 000000000000 |
Mutuated
| Course unit code | Course unit name | Teacher in charge | Degree course code |
|---|---|---|---|
| SCP4063485 | INTRODUCTION TO PROBABILITY (Ult. numero di matricola pari) | PAOLO DAI PRA | SC2094 |
ECTS: details
| Type | Scientific-Disciplinary Sector | Credits allocated | |
|---|---|---|---|
| Basic courses | MAT/06 | Probability and Mathematical Statistics | 9.0 |
Course unit organization
| Period | Second semester |
|---|---|
| Year | 1st Year |
| Teaching method | frontal |
| Type of hours | Credits | Teaching hours |
Hours of Individual study |
Shifts |
|---|---|---|---|---|
| Lecture | 9.0 | 82 | 143.0 | No turn |
| Start of activities | 02/03/2015 |
|---|---|
| End of activities | 12/06/2015 |
| Show course schedule | 2019/20 Reg.2014 course timetable |
Examination board
| Board | From | To | Members of the board |
|---|---|---|---|
| 13 Commissione a.a.2019/20 (matr.pari) | 01/10/2019 | 30/09/2020 |
BARBATO
DAVID
(Presidente)
CELANT GIORGIO (Membro Effettivo) FISCHER MARKUS (Membro Effettivo) |
| 12 Commissione a.a.2019/20 (matr.dispari) | 01/10/2019 | 30/09/2020 |
CELANT
GIORGIO
(Presidente)
BARBATO DAVID (Membro Effettivo) FISCHER MARKUS (Membro Effettivo) |
| 11 Commissione a.a. 2017/2018 (mat. pari) | 01/10/2017 | 30/09/2019 |
BARBATO
DAVID
(Presidente)
CELANT GIORGIO (Membro Effettivo) |
| 10 Commissione a.a.2018/19 (matr.pari) | 01/10/2018 | 30/09/2019 |
BARBATO
DAVID
(Presidente)
CELANT GIORGIO (Membro Effettivo) FISCHER MARKUS (Membro Effettivo) |
| 9 Commissione a.a.2018/19 (matr.dispari) | 01/10/2018 | 30/09/2019 |
CELANT
GIORGIO
(Presidente)
BARBATO DAVID (Membro Effettivo) FISCHER MARKUS (Membro Effettivo) GRASSI ANGELA (Membro Effettivo) |
| 8 Commissione a.a. 2017/2018 (mat. pari) | 01/10/2017 | 30/09/2018 |
BARBATO
DAVID
(Presidente)
FERRANTE MARCO (Membro Effettivo) FIORIN SILVANO (Membro Effettivo) |
| 7 Commissione a.a. 2017/2018 (mat. dispari) | 01/10/2017 | 30/09/2018 |
FIORIN
SILVANO
(Presidente)
BARBATO DAVID (Membro Effettivo) FERRANTE MARCO (Membro Effettivo) |
| 6 Commissione a.a. 2016/2017 (mat. dispari) | 01/10/2016 | 30/09/2017 |
FIORIN
SILVANO
(Presidente)
DAI PRA PAOLO (Membro Effettivo) FERRANTE MARCO (Membro Effettivo) |
| 5 Commissione a.a. 2016/2017 (mat. pari) | 01/10/2016 | 30/03/2018 |
DAI PRA
PAOLO
(Presidente)
FERRANTE MARCO (Membro Effettivo) FIORIN SILVANO (Membro Effettivo) |
| 4 Commissione a.a. 2015/2016 (mat. pari) | 01/10/2015 | 30/09/2016 |
DAI PRA
PAOLO
(Presidente)
FIORIN SILVANO (Membro Effettivo) GRASSI ANGELA (Membro Effettivo) |
| 3 Commissione a.a. 2015/2016 (mat. dispari) | 01/10/2015 | 30/09/2016 |
FIORIN
SILVANO
(Presidente)
DAI PRA PAOLO (Membro Effettivo) FERRANTE MARCO (Membro Effettivo) |
| 2 Commissione a.a. 2014/2015 (mat. pari) | 01/10/2014 | 30/09/2015 |
DAI PRA
PAOLO
(Presidente)
CELANT GIORGIO (Membro Effettivo) FIORIN SILVANO (Membro Effettivo) GRASSI ANGELA (Membro Effettivo) |
| 1 Commissione a.a. 2014/2015 (mat. dispari) | 01/10/2014 | 30/09/2015 |
FIORIN
SILVANO
(Presidente)
CELANT GIORGIO (Membro Effettivo) DAI PRA PAOLO (Membro Effettivo) FERRANTE MARCO (Membro Effettivo) |
| Prerequisites: | Basic calculus for functions of one real variable. |
| Target skills and knowledge: | The course is concerned with the fundamental notions of Probability, whose aim is the modeling of random phenomena. The emphasis is on basic general concept; the aim is to develop the capability of applying these concept to concrete and relevant examples. |
| Examination methods: | Written exam. The teacher could require, in special cases, to complete the exam with an oral part. |
| Assessment criteria: | The exercises have the aim of verifying the full understanding of basic notion of probability, as well as the capability of applying them to concrete examples. Clarity and coherence of the solutions will also determine the final evaluation. |
| Course unit contents: | Random experiments, sample space, probability.
Sample space with finitely many elements, combinatorics. Conditional probability and independence. Discrete random variables, discrete density and distribution. Multivariate discrete random variables, joint and marginal densities. Independence of discrete random variables. Expectation for discrete random variables. Variance, covariance, moments. Basic discrete distributions: Binomial, Hypergeometric, Geometric, Negative Binomial, Poisson. Conditional density and conditional expectation for discrete random variables. Absolutely continuous random variables and their expectation. Basin continuous distributions: Uniform, Gamma Normal. Multivariate continuous random variables, joint densities, independence. Conditional density and conditional expectation for absolutely continuous random variables. Law of large numbers and central limit theorem. Normal approximation. |
| Planned learning activities and teaching methods: | The presentation of theoretical notions is complemented by examples and exercises. |
| Textbooks (and optional supplementary readings) |
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