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Probability Models

Code 14778
Year 2
Semester S1
ECTS Credits 6
Workload TP(60H)
Scientific area Mathematics
Entry requirements Integral and Differential Calculus.
Mode of delivery Face-to-face.
Work placements Not applicable.
Learning outcomes To apply strategies of Statistical Inference.
At the end of this UC students should be able to:
a) identify issues of science and biological and medical technologies that can be solved with probability strategies and statistical inference;
b) build probabilistic models appropriate to the problems;
c) select and apply strategies of Statistical Inference in solving problems.
Syllabus 1. Introduction to Probability Theory: Independence and conditioning; Distributions Binomial, Hypergeometric, Geometric, Poisson, Normal; moments and the Central Limit Theorem.
2. Introduction to Statistical Inference: estimation by the method of moments; properties of estimators; confidence intervals; tests of hypotheses.
Main Bibliography Principal Bibliography:

Probabilidades e Estatística para Ciências e Tecnologia.(2016) Esmeralda Gonçalves, Ana Cristina Rosa e Maria Emília Nogueira. Editora Almedina.

Complementary Bibliography:

Pestana, D. e Velosa, S. (2010). Introdução à probabilidade e à estatística, 4ª Ed., Fundação Calouste Gulbenkian. Cota: I-0.0-00025
Ross, S. (2009). Introduction to probability and statistics for engineers and scientists. Amsterdam Elsevier. Cota: F-1.8-01370 (CD)
Teaching Methodologies and Assessment Criteria The classes will be fundamentally theoretical-practical in nature, combining the exposure of syllabus, with their discussion and application in practical examples. Previously provided notes/slides will be provided for the student to do a preliminary study and in class will be made an exhibition of the main contents.
The more theoretical contents will be presented with the use of practical and concrete examples.
The evaluation of this UC includes holding two written tests and five mini-tests to be performed on the computer.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2026-01-02

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