# Probability and Statistics (2009/2010)

Course code
4S02843
Credits
6
Coordinator
Leonard Peter Bos
Other available courses
Other available courses
Other available courses
MAT/06 - PROBABILITY AND STATISTICS
Language of instruction
Italian
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 4 2nd Semester Leonard Peter Bos
Laboratorio di Statistica 2 2nd Semester Elisa Mastrogiacomo

### Lesson timetable

2nd Semester
Activity Day Time Type Place Note
Teoria Wednesday 12:30 PM - 2:30 PM lesson Lecture Hall A
Teoria Thursday 12:30 PM - 1:30 PM lesson Lecture Hall Gino Tessari
Laboratorio di Statistica Tuesday 2:30 PM - 4:30 PM lesson Lecture Hall A
Laboratorio di Statistica Thursday 2:30 PM - 3:30 PM lesson Lecture Hall A

### Learning outcomes

This course is an introduction to probability and statistics. The emphasis will be on learning the main statistical methodologies. The part on probability is aimed at understanding the basic principles of elementary probabilty and to justifying the procedures of statistical analysis.

### Syllabus

1. Introduction to Descriptive Statistics
2. Experiments with random outcome. Sample space and events.
3. Axioms of probability.
4. Elementary probabilty formulas.
5. Conditional probability. Independent events.
6. Random variables. Probability densities. Mean and variance.
7. Bernoulii trials: binomial and geometric distributions.
8. Poisson process: exponential and gamma distributions
9. The normal distribution and its properties.
10. Law of large numbers.
11. The Central Limit Theorem and normal approximation.
12. Introduction to inference statistics.
13. Estimates and their properties.
14. Estimates for intervals: confidence intervals.
15. Mean and variance estimates for normal samples.
16. Estimates for general samples. Proportion estimates.
17. Test of hypothesis. z test and t test. Frequency tests.
18. The Chi-Squared test.

### Assessment methods and criteria

The exam will be in written form with one part exercises and one part consisting of questions regarding the theory.
At the request of the student, it will be possible to have an oral exam instead.

 Activity Author Title Publisher Year ISBN Note Teoria Bramanti Marco Calcolo delle Probabilità e Statistica (Edizione 1) Progetto Leonardo-Esculapio s.r.l. 2001