Probability and Statistics C
Code
10410
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
Gracinda Rita Diogo Guerreiro
Weekly hours
4
Total hours
56
Teaching language
Português
Objectives
The main goal of this subject is to teach the basics about the statistics and probability. The students will be prepared to easily handle the requirements of a professional activity, concerning probabilities and statistics.
Regarding Probabilities it’s intended that students develop capacities to formulate problems concerning the results of random experiences.
Students should also be able to manipulate statistical techniques, in order to analyze parameters of a population. For instance, be able to use linear regression as a first approach to modulation of real data throughout statistics.
Prerequisites
.Knowledge of Calculus, emphasizing integration techiques and functions of several variables.
Subject matter
1. Basic notions of probability.
2. Random variables and their probability distributions.
3. Random vectors.
4. Some important distributions.
5. Central limit theorem.
6. Point estimation.
7. Interval estimation.
8. Hypothesis testing.
9. Simple linear regression.
Bibliography
Pedrosa, António (2004). Introdução Computacional à Probabilidade e Estatística. Porto Editora.
Guimarães, R. C. e Cabral, J. S. (1997). Estatística, McGraw-Hill.
Paulino e Branco (2005). Exercícios de Probabilidade e Estatística. Escolar Editora.
Pestana e Velosa (2006). Introdução à Probabilidade e à Estatística. Fundação Calouste Gulbenkian.
Montgomery, D. C. e Runger, G. C. (2002). Applied Statistics and Probability for Engineers, John Wiley and Sons.
Ross, Sheldon (1987). Introduction to Probability and Statistics for Engineers and Scientists. Wiley.
Murteira, B., Ribeiro, C. S., Silva, J. A. e Pimenta, C., (2002). Introdução à Estatística, McGraw-Hill.
Mood, A. M., Graybill e Boes (1974). Introduction to the Theory of Statistics., McGraw-Hill.
Rohatgi (1976). An Introduction to Probability Theory and Mathematical Statistics. Wiley.
Tiago de Oliveira (1990). Prob. e Est.: Conceitos, Métodos e Aplicações., vol. I, II. McGraw-Hill.
Teaching method
Lectures and problem-solving sessions, with wide participation of students.
Evaluation method
Continuous Evaluation
Continuous assessment will be made by three tests on 11/04, 16/05 and 15/06.
All tests will take place outside the period of classes and will last 1h45m.
The student gets approval in the discipline is the weighted average of the three tests is greater than or equal to 9.5. If a student does not attend a test, this test will come with the factor of "0 x percentage of" for the final classification.
Final grade = 1/3 T1 + 1/3 T2 + 1/3 T3
Students who have frequency from 2012/2013 may not attend the classes. The situation regardind frequency for each student will be available in CLIP in Documentação de Apoio/Outros.
EVALUATION OF THE SEASON FOR APPEAL
On the appeal season, the evaluation is made by an exam, being valid both for approval or grade improvement.
The exam is rated on a scale of 0 to 20. The student obtains approval if the grade is higher or equal to 9.5.
A student who obtains a final mark of not less than 17.5 should conduct an oral defense of note (date to be agreed). If the student does not attend the oral test will be with a final score of 17 points.
GRADES IMPROVEMENT
Students intending to perform an exam in order to improve their grades, must, in advance, require such improvement among academic services.
OTHER INFORMATION
Students must confirm if the email registered on CLIP is correct.
For each test, students should bring a examination book, identification of calculating machine.