Lecturer: Benedetta Ferrario  

Course name: Elements of probability and statistics
Course code: 062030
Degree course: Ingegneria Meccanica
Disciplinary field of science: MAT/06
University credits: CFU 3
Course website: http://www-dimat.unipv.it/ferrario

Specific course objectives

Basic concepts of probability and an introduction to statistical inference.

Course programme

Probability
Definition of probability. Conditional probability; Bayes' theorem. Independence. Mathematical expectation, variance. Random variables; discrete and continuous. Chebyshev inequality. Law of large numbers. Central limit theorem. Student's t-distribution and chi-square distribution.

Inferential statistics
Confidence intervals for the mean value and the variance. Linear regression.

Course entry requirements

Analisi A, Analisi B, Geometria e Algebra.

Course structure and teaching

Lectures (hours/year in lecture theatre): 15
Practical class (hours/year in lecture theatre): 15
Practicals / Workshops (hours/year in lecture theatre): 0

Suggested reading materials

P. Baldi. Introduzione alla probabilità con elementi di statistica. McGraw-Hill..

Testing and exams

Written exam of 1 hour and 30 minutes. In addition, oral exam only if requested by the Student.