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Glossary
Semester (Sem)
1First Semester
2Second Semester
AAnnual course
Educational activities
ABasic activities
Language
Course completely offered in italian
Course completely offered in english
--Not available
Innovative teaching
The credits shown next to this symbol indicate the part of the course CFUs provided with Innovative teaching.
These CFUs include:
  • Subject taught jointly with companies or organizations
  • Blended Learning & Flipped Classroom
  • Massive Open Online Courses (MOOC)
  • Soft Skills
Course Details
Context
Academic Year 2014/2015
School School of Industrial and Information Engineering
Name (Bachelor of Science degree)(ord. 270) - CO (360) Engineering of Computing Systems
Track IOL - Online track
Programme Year 2

Course Details
ID Code 085756
Course Title PROBABILITY
Course Type Mono-Disciplinary Course
Credits (CFU / ECTS) 5.0
Semester First Semester
Course Description Sample space; events. Axiomatic definition of probability. Properties of the probability function. Conditional probability and stochastic independence. Formula of total probabilities, Bayes formula, the product rule. Definition of random variable and of cumulative distribution function. Discrete and continuous random variables and density functions. The law of a function of a random variable. Multivariate distributions. Expectation and its properties; mean and variance; expectations of functions of many random variables, moments, covariance, coefficient of correlation. Stochastically independent random variables; expectations and independence. Conditional distributions. Covariance matrix; variance and covariance for linear combinations of random variables with finite second moments. Characteristic function or moment generating function. Multivariate Gaussian distribution. Sum of random variables: convolution, characteristic function or m.g.f. Chebichev inequality. Cauchy Schwarz inequality and correlation coefficient. Weak and strong law of large numbers. Sample mean and its expectation and variance. Central limit theorem and normal approximation. The Bernoulli process; the waiting time of the first success and lack of memory of the geometric law. The Poisson process; waiting times, gamma laws, and lack of memory of the exponential law.
Scientific-Disciplinary Sector (SSD)
Educational activities SSD Code SSD Description CFU
A
MAT/06
PROBABILITY AND STATISTICS
5.0

Schedule, add and removeAlphabetical groupProfessorLanguageCourse details
From (included)To (excluded)
--AZZZZPiazza Elio
manifesti v. 3.3.7 / 3.3.7
Area Servizi ICT
11/08/2020