Probability and Statistics (2009/2010)

Course code
Leonard Peter Bos
Other available courses
Other available courses
Other available courses
    Academic sector
    Language of instruction
    Teaching is organised as follows:
    Activity Credits Period Academic staff Timetable
    Teoria 4 2nd Semester Leonard Peter Bos
    Laboratorio di Statistica 2 2nd Semester Elisa Mastrogiacomo

    Lesson timetable

    2nd Semester
    Activity Day Time Type Place Note
    Teoria Wednesday 12:30 PM - 2:30 PM lesson Lecture Hall A  
    Teoria Thursday 12:30 PM - 1:30 PM lesson Lecture Hall Gino Tessari  
    Laboratorio di Statistica Tuesday 2:30 PM - 4:30 PM lesson Lecture Hall A  
    Laboratorio di Statistica Thursday 2:30 PM - 3:30 PM lesson Lecture Hall A  

    Learning outcomes

    This course is an introduction to probability and statistics. The emphasis will be on learning the main statistical methodologies. The part on probability is aimed at understanding the basic principles of elementary probabilty and to justifying the procedures of statistical analysis.


    1. Introduction to Descriptive Statistics
    2. Experiments with random outcome. Sample space and events.
    3. Axioms of probability.
    4. Elementary probabilty formulas.
    5. Conditional probability. Independent events.
    6. Random variables. Probability densities. Mean and variance.
    7. Bernoulii trials: binomial and geometric distributions.
    8. Poisson process: exponential and gamma distributions
    9. The normal distribution and its properties.
    10. Law of large numbers.
    11. The Central Limit Theorem and normal approximation.
    12. Introduction to inference statistics.
    13. Estimates and their properties.
    14. Estimates for intervals: confidence intervals.
    15. Mean and variance estimates for normal samples.
    16. Estimates for general samples. Proportion estimates.
    17. Test of hypothesis. z test and t test. Frequency tests.
    18. The Chi-Squared test.

    Assessment methods and criteria

    The exam will be in written form with one part exercises and one part consisting of questions regarding the theory.
    At the request of the student, it will be possible to have an oral exam instead.

    Reference books
    Activity Author Title Publisher Year ISBN Note
    Teoria Bramanti Marco Calcolo delle Probabilità e Statistica (Edizione 1) Progetto Leonardo-Esculapio s.r.l. 2001