he aim of the course is to provide students a basic knowledge of Probabilities and Statistics which are an indispensable tool for decision making under uncertainty.  In addition, the course helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study.

At the end of the unit students will have acquired skills that enable them:

-Know and understand the basic elements of the theory and the calculus of probabilities

-Describe the main probabilistic distributions of discrete and continuous variables and applies them in the description of random phenomena

-Infer about population parameters based on sample distributions

-Build-statistical models, which establish a functional relationship between variables

General characterization





Responsible teacher

Ayana Maria Xavier Furtado Mateus


Weekly - 4

Total - 56

Teaching language



Basics of mathematical analysis, pointing out some topological notions, primitives, integrals and functions of more than one variable.


Guimarães, R.C. & Cabral, J.A.S. (2007), Estatística, McGraw-Hill.

Montgomery, D.C. & Runger, G.C. (2011), Applied Statistics and Probability for Engineers, John Wiley.

Pedrosa, A.C.& Gama, S.M.A. (2004), Introdução Computacional à Probabilidade e Estatística, Porto Editora.

Pestana, D.D. &  Velosa, S.F. (2002) Introdução à Probabilidade e à Estatística, Fundação Calouste Gulbenkian, Lisboa.

Robalo, A. (1994), Estatística - Exercícios, vol. I, II, Edições Sílabo, Portugal.

Teaching method

Lectures and problem-solving sessions, with wide participation of students.

Evaluation method


All students are admitted to evaluation.


The students obtain approval if the weighted average of the two tests is greater than or equal to 9.5. 

Final mark =  50%T1 + 50%T2 


The evaluation by exam is valid both for grade improvement as for discipline approval. The student with a final score greater than or equal to 18.5 should carry out an oral defense of note. Otherwise, will get a final score of 18.0.

 More detailed rules are available in the Portuguese version.

Subject matter

Short Programme

1. Basic notions of probability.

2. Random variables and their probability distributions.

3. Moments of random variables.

4. Some important distributions.

5. Random vectors.

6. Central limit theorem.
7. Basic notions of statistics.

8. Point and interval estimation.

9. Hypothesis testing
10. Non-parametric tests
11. Simple linear regression
12. Experimental Error