Probability and Statistics C
Code
10410
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
Frederico Almeida Gião Gonçalves Caeiro
Weekly hours
4
Total hours
52
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 such as Confidence Intervals and Hypothesis Testing. Students should also 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. Linear regression.
Bibliography
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.
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.
Teaching method
Lectures and problem-solving sessions, with wide participation of students.
Evaluation method
Evaluation Rules
Frequency Note
In all the theoretical-practical classes the presences of the students will be marked.
Suficient grade will be awarded to students who attend 2/3 of the theoretical-practical classes.
CONTINUOUS EVALUATION
Continuous assessment will be done by three tests.
The student gets approval in the discipline if he / she does the three tests and if the weighted average of the three tests is greater than or equal to 9.5 values.
Final score = 0.35 * T1 + 0.40 * T2 + 0.25 * T3
Students who obtains a final mark of 17.5 or higher must carry out an oral defense of note (on a date to be agreed upon).
EXAM EVALUATION
The evaluation of the appeal period is carried out by Examination, being valid both for grade improvement and for approval. The exam is graded on a scale of 0 to 20 values. The student is approved for the course if he obtains a grade of 9.5 or higher.
Students who obtains a final mark of 17.5 or higher must carry out an oral defense of note (on a date to be agreed upon).
OTHER INFORMATION
To carry out evaluation tests, the student must bring an examination notebook, calculator and identification document.
In the evaluation tests, calculating machines may be used provided that they meet the following conditions cumulatively:
- they are silent;
- do not require localized external power;
- have no symbolic calculation (CAS);
- have no ability to communicate at a distance;
- not having ribbons, paper rolls or other means of printing.
Entries for each test or examination must be made within the period indicated in CLIP.