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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 .
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.
Teaching Methodologies and Assessment Criteria The assessment of knowledge and skills acquired by the students during the teaching-learning is done through the realization of two tests (classified from 0 to 20 values) with a weighting of 0.5. The final teaching-learning classification (0 to 20 values) is calculated as follows:
CEA = 0.5F_1 + 0.5F_2.

The final examination is granted when dispensing the final rankings teaching and learning is equal to or higher than 9.5.

The "FREQUENCY" classification is granted when the final teaching-learning classification is greater than or equal to 4 values and less than 9.5 values.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2024-01-19

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