Probability and Statistics

Code:

M2022

Acronym:

M2022

Level:

200

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2016/2017 - 1S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Physics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:M	62	Official Study Plan	2	-	6	56	162

Teaching language

Portuguese

Objectives

Acquisition of basic concepts of Probability and Statistics and their application to concrete situations.

Learning outcomes and competences

On completing this curricular unit it is expected that the student

a.dominates the probability calculus and  knows to calculate probabilities associated with the phenomenon under study;

b.
be able to characterize random variables and identify the respective probability distributions;

c.
can identify appropriate techniques of descritive statistics to organize and summarize data and interpret them;

d.
be able to infer population parameters from a sample of that population applying techniques of  interval estimation.

Working method

Presencial

Program

1. Probability Theory: review of fundamental concepts, probability interpretations, independence of events and conditional probability, Bayes’ and total probability theorems.



 

2. Random Variables: characterization, discrete and continuous models, bidimensional random variables, function of a random variable, moments, Chebyshev's inequality, central limit theorem and law of large numbers.



 

3. Descriptive Statistics: fundamental concepts and tecniques for summarizing data.

 

4. Statistical Inference: estimators properties, interval estimation.


 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Mandatory literature

Montgomery Douglas C.; Applied statistics and probability for engineers. ISBN: 0-471-20454-4
Oliveira J. Tiago de; Probabilidades e estatística. ISBN: 972-9241-20-1 (vol. 1)

Complementary Bibliography

Papoulis Athanasios; Probability and statistics. ISBN: 0-13-711730-2

Teaching methods and learning activities

Lectures: presentation and discussion of the subjects listed in ‘Syllabus’.

Practical classes: solving exercises previously proposed to students; hints to solve exercises not solved in class; support in clarifying theoretical and/or practical problems.

 

Evaluation Type

Evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	100,00
Total:	100,00

Calculation formula of final grade

Final exam mark, if less than 17.5. In the case of a final exam mark higher than or equal to 17.5,  the student must perform a complementary written or oral exam in order to obtain a score greater than or equal to 18 values.

Examinations or Special Assignments

Students with a score greater than or equal to 17.5 values in the final exam must make a complementary written or oral exam in order to obtain a score greater than or equal to 18 values.

Special assessment (TE, DA, ...)

Exams under speacial conditions will consist of a written test which can be preceded by an oral eliminatory exam.

Classification improvement

Students with a score greater than or equal to 17.5 values in this exam must make a complementary written or oral exam in order to obtain a score greater than or equal to 18 values.