Studying at the University of Verona

Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.

This information is intended exclusively for students already enrolled in this course.
If you are a new student interested in enrolling, you can find information about the course of study on the course page:

Laurea in Biotecnologie - Enrollment from 2025/2026

The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.

2° Year  activated in the A.Y. 2012/2013

ModulesCreditsTAFSSD
6
B
BIO/18

3° Year  activated in the A.Y. 2013/2014

ModulesCreditsTAFSSD
6
A
FIS/07
12
C
BIO/04 ,BIO/09
Prova finale
3
E
-
activated in the A.Y. 2012/2013
ModulesCreditsTAFSSD
6
B
BIO/18
activated in the A.Y. 2013/2014
ModulesCreditsTAFSSD
6
A
FIS/07
12
C
BIO/04 ,BIO/09
Prova finale
3
E
-

Legend | Type of training activity (TTA)

TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S02690

Credits

4

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/06 - PROBABILITY AND STATISTICS

Period

I semestre dal Oct 3, 2011 al Jan 31, 2012.

To show the organization of the course that includes this module, follow this link:  Course organization

Learning outcomes

This course aims to provide the students with the fundamental of descriptive statistics, inferential statistics and probability theory.

Program

Part I) descriptive statistics.
Univariate statistics: main chart (pie chart, bar chart, histogram e box-plot), measures of location (mean, mode and median), measure of spread (range, interquartile range, variance, standard deviation), measure of asymmetry (third moment, skewness index, Pearson's skewness coefficient) measure of kurtosis (fourth moment, kurtosis, excess kurtosis).
Bivariate statistics: main representations (contingency tables e shattered plots), main measures (mean, variance and covariance), correlation analysis (linear regression and Pearson's correlation coefficient).

Part II) Probability theory
Probability: probability definition (classic and modern), event taxonomy (independent events, mutually exclusive events, complementary event, union event and intersection event). Conditional probability. Probability of notable events.
Random variables: discrete random variable (discrete probability distribution, expected value and variance), continuous random variable (probability density function, expected value and variance), main continuous distributions (uniform, gaussian, standard normal and chi-square).main discrete distributions (binomial and Bernoulli), central limit theorem, Chebyshev’s inequality, convergence in law of random variables and limit random variable.

Part III) Inferential Statistics.
Estimation theory: estimation problem, main properties of an estimator (unbiased, consistency and efficiency). point estimation (expected value and variance), interval estimation (expected value and variance).
Hypothesis test: Problem statement (first type and second type error, theoretical distribution), testing process, chi-square based independence test.

Part IV) Laboratory
Spreadsheet fundamental: scope and main software. Cells main properties: value, format, absolute and relative reference. Calc for basic statistics: single and double entry table, bar plot, shatter plot and linear regression plot.

Reference texts
Author Title Publishing house Year ISBN Notes
D. OLIVIERI Istituzioni di statistica CEDAM 2005 Testo ad un livello di approfondimento superiore a quello presente nel corso
Navidi Probabilità e statistica per l'ingegneria e le scienze McGraw-Hill 2011 978-8-88-3866334-5 Testo adatto a chi intende approfondire l'uso della statistica in ambito applicativo
Bland Statistica Medica Apogeo   Testo adatto a chi intende approfondire l'uso della staitistica nelle discipline mediche

Examination Methods

The exam requires two tests. The former test is composed by close questions while the latter is composed by open questions and exercises. To pass the exam, a student has to get a positive mark in both the tests.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Teaching materials e documents