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Calcolo delle Probabilità e Statistica Matematica
Probability and Statistics
Lucio Demeio

Seat Ingegneria
A.A. 2015/2016
Credits 6
Hours 48
Period I
Language ENG

Prerequisites
Calculus 1 and 2.

Learning outcomes
On completion of the course the students should be able to analyze a data set and to use the fundamental tools of probability and mathematical statistics.

Program
Probability spaces. 2. Discrete random variables. 3. Continuous random variables. 4. Convergence and approximation: law of large numbers and central limit theory. 5. Mathematical statistics: estimates, sampling, regression, variance.

Development of the examination
LEARNING EVALUATION METHODS
The exam consists of a written and an oral test: - the tests will concern the topics covered during the course offered in the same academic year; - registration to the first written test is mandatory, and has to be done on line on the university web page (the link is available on the teacher web page); - the written test consists of a number of problems and questions concerning all topics treated during the course; this test will last two or three hours, and the student will not be permitted the use of any kind of material, except for a pocket calculator; - a minimum score of at least 18/38 in the written test is required for the admission to the oral test; - the list of the names of the students admitted to the oral test will be published by the teacher on his web page; - the oral test will contain mainly theoretical questions, some of which may have to be formulated in written form, and may contain problems and exercises concerning course topics not covered in the written test or course topics in which the student may have shown weaknesses in the written test; - questions of general comprehension may be asked both in the written and in the oral test; - in the case of a successful written test, the student may sit for the oral test either in the same session or in the next available session, but not later; - in the case of a successful written test, but a not passing grade in the oral test, the student may try the oral test again in the next available session; in case of another failure, the student will have to sit for the whole exam again; - all written tests have to be correctly and fluently written, well organized, easily readable and with a negligible presence of corrections which must anyway not mar the esthetics of the text; - honor code: each student pledges that the written tests are entirely his/her own work and that no input from other students or sources has been used; demeanors which are deemed unfair or not in line with these principles entail the failing of the exam.

LEARNING EVALUATION CRITERIA
In order to pass the exam the student must demonstrate a good understanding of all topics and concepts covered during the course, and which will be published on line as “Final program“ or “Exam program“ at the end of the course, and to be able to use them in solving typical probability or statistics problems.

LEARNING MEASUREMENT CRITERIA
Assignement of a numerical score in the range 0-30.

FINAL MARK ALLOCATION CRITERIA
The final score will be given by the teacher on the basis of the score of the written test and of the level of knowledge and comprehension of the topics covered during the course.

Recommended reading
Sheldon M. Ross, “Probabilità e statistica per l'ingegneria e le scienze“ (a cura di F. Morandin), Apogeo 2008; T. T. Soong, Fundamentals of Probability and Statistics for Engineers, Wiley 2004

Courses

• Ingegneria Informatica e dell'Automazione (Corso di Laurea Triennale (DM 270/04))