# PROBABILITY AND STATISTICS

Degree course:
Corso di First cycle degree in MATHEMATICS
Academic year when starting the degree:
2019/2020
Year:
2
Academic year in which the course will be held:
2020/2021
Course type:
Compulsory subjects, characteristic of the class
Credits:
8
Period:
Second semester
Standard lectures hours:
64
Detail of lecture’s hours:
Lesson (64 hours)
Final Examination:
Orale

The exam is divided into two parts:
-A written test which consists of the solution of exercises that cover the main topics studied in the course, and which verifies the students' ability to apply the techniques learned in class;
-A second oral part which consists of the discussion of the written test and a verification of the ability to express oneself in correct mathematical language and to demonstrate some of the main theorems encountered during the course.

Assessment:
Voto Finale

Discrete probability. Combinatorial calculus. Discrete random variables. Expectation and variance. Conditional expectation. Continuous random variables. Sequences of ramdom variables and their convergence. Independent and identically distributed random variables. The law of large numbers. The central limit theorem.

Discrete probability. Combinatorial calculus. Discrete random variables. Expectation and variance. Conditional expectation. Continuous random variables. Sequences of ramdom variables and their convergence. Independent and identically distributed random variables. The law of large numbers. The central limit theorem.

Baldi: Calcolo delle probabilità. McGraw-Hill

Caravenna, Dai Pra:
Probabilità.
Un’introduzione attraverso modelli e applicazioni.
Springer

Frontal lessons: 64 hours, frontal exercises: 12 hours.
In the lectures the theoretical notions are developed and the techniques necessary for the application of the theory to the resolution of exercises and problems also of a practical nature are described.

Reception: by appointment (email to the teacher)