Probabilities and Statistics A
Objectives
The 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
Code
12791
Credits
6.0
Responsible teacher
Ayana Maria Xavier Furtado Mateus
Hours
Weekly - 4
Total - 56
Teaching language
Português
Prerequisites
Basics of mathematical analysis, pointing out some topological notions, primitives, integrals and functions of more than one variable.
Bibliography
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
Participatory theoretical-practical classes, involving oral presentation of content and problem-solving. Practical classes are focused on problem resolution.
Evaluation method
ATTENDANCE TO CLASSES
In all practical classes, the presence of students will be noted.
Students enrolled in the academic year 2022/23 may choose not to attend practical classes."
Only students with a maximum of 4 absences in practical classes during the current semester and students who have obtained frequency in the previous year will be admitted for evaluation.
Students with Worker-Student status are covered by current legislation.
Students wishing to justify their absences must submit the respective justification proof within 5 working days from the date of these absences. Only justifications for illness will be automatically accepted. Other justifications will be reviewed by the teachers and consequently approved or not."
CONTINUOUS ASSESSMENT
Continuous assessment will be based on two tests.
The 1st test (T1) will take place outside the class period on November 8, with a weighting of 50%. The test will last for 1.5 hours.
The 2nd test (T2) will take place outside the class period on December 15, with a weighting of 50%. The test will last for 1.5 hours.
A student passes the course if they take both tests, and the weighted average of the two tests is equal to or greater than 9.5.
Final grade = 50%T1 + 50%T2
REMEDIAL EVALUATION
The remedial evaluation is conducted through an exam, serving both as an opportunity for grade improvement and for passing the course.
The exam is graded on a scale from 0 to 20. A student passes the course if they achieve a grade equal to or higher than 9.5 on the exam.
A student who obtains a final grade equal to or higher than 18.5 may be required to undergo an oral defense of the grade (on a mutually agreed-upon date). If the student does not attend the oral defense, the final grade will be 18."
GRADE IMPROVEMENT
Students wishing to take the remedial exam for grade improvement must request this in advance through the academic services.
OTHER INFORMATION
Students should confirm that the email registered on CLIP is correct. Otherwise, they may not receive important notifications.
Due to the high number of enrolled students, teachers may not respond to all emails they receive. Email communication should be reserved for important and urgent matters.
The use of calculators is allowed in tests/exams.
In cases of proven fraud or plagiarism in any of the assessment elements of the course, students directly involved are immediately failed in the course, without prejudice to possible disciplinary or civil proceedings. The occurrence will be reported to the Director of FCT.
Subject matter
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