Statistics

Code	9098
Year	2
Semester	S1
ECTS Credits	6
Workload	TP(60H)
Scientific area	Mathematics
Entry requirements	Basic notions of probabilities and statistics.
Mode of delivery	Face-to-face
Work placements	Not applicable
Learning outcomes	Obtain basic knowledge of Probability and Statistics, vital for future learning of more advanced concepts that arise in the course of academic and/or professional training. Select and apply proper statistical methods to draw conclusions under uncertainty in Engineering. At the end of the course the student should be able to apply probabilistic and statistical concepts in solving engineering problems. Communicate with precision the issues that involve statistical concepts .
Syllabus	1. Basic concepts of probability 1.1 Random Experience, sample space and events 1.2 Classical definition of probability 1.3 Axiomatic definition of probability and its consequences 1.4 Conditional probability and independence of events 2. Real random variables and probability distributions 2.1 Real discrete and continuous random variables 2.2 Distribution moments 2.3 Characterization of some discrete and continuous probability distributions 2.4 Central Limit Theorem and its applications 3 Introduction to statistical inference 3.1 Point estimation and estimator properties 3.2 Confidence Intervals 3.3 Parametric and non-parametric hypothesis tests
Main Bibliography	A. Applied statistics and probability for engineers, 5th Edt, Montgomery, D. e Runger, G., John Wiley & Sons, 2011. Cota: MD-14-00531 B. Introduction to probability and statistics for engineers and scientists, Ross, S., Amsterdam Elsevier, 2009. Cota: F-1.8-01370 (CD) C. Introdução à probabilidade e à estatística, 4ª Ed., Pestana, D. e Velosa, S., Fundação Calouste Gulbenkian, 2010. Cota: I-0.0-00025 D. Introdução à estatística. Murteira, B., Ribeiro, C., Silva, J.A. e Pimenta, C. Escolar Editora, 2010. Cota: EC-1.0-00135 E. Grande Maratona de Estatística no SPSS, Hall, A., Neves, C. e Pereira, A., Escolar Editora, 2011.
Language	Portuguese. Tutorial support is available in English.