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Presentation
Presentation
Provides basic mathematical knowledge, skills and tools of probabilities and statistics, which are essential for future Engineers.
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Class from course
Class from course
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Degree | Semesters | ECTS
Degree | Semesters | ECTS
Bachelor | Semestral | 5
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Year | Nature | Language
Year | Nature | Language
2 | Mandatory | Português
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Code
Code
ULHT41-620
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Prerequisites and corequisites
Prerequisites and corequisites
Not applicable
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Professional Internship
Professional Internship
Não
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Syllabus
Syllabus
- Descriptive statistics: measures of location, measures of dispersion. Graphic presentation. Linear correlation coefficient and linear regression.
- Random experiment. Events. Sample space. Algebra of events. Probability concepts (Laplace and Kolmogorov). Conditional probability. Independence. Bayes theorem.
- Discrete and Continuous random variables. Probability and distribuition functions. Mean value, variance and standard deviation.
- Discrete distributions: Uniform, Bernoulli, Binomial and Poisson distributions.
- Continuous distributions: Uniform, Normal, Exponential, Chi-square and t-Student distributions.
- Statistical inference. Sample distributions. Central limit theorem.
- Estimation by intervals. Confidence interval for mean (know and unknow variance, large and small sample). Confidence interval for variance and standard deviation. Confidence interval for proportion.
- Hypothesis Testing.
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Objectives
Objectives
Be able to calculate and interpret the most important statistical measures and identify their properties. Learn how to calculate probabilities using Laplace's definition and Kolmogorov axiom. Learn how to calculate conditional probability and apply the principles of multiplication, total probability and Bayes' theorem. Be able to use the concept of random variable and to operate with probability functions and distributions. Know the most important discrete and continuos distributions and some of their properties. Calculate confidence intervals and apply hypothesis tests and interpret the obtained results.
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Teaching methodologies and assessment
Teaching methodologies and assessment
Assessment
Continuous assessment:
- Attendance and Participation: weight of 20%.
- Two frequencies: weight of 80%.
The student will pass the continuous assessment if the weighted average is equal to or greater than 10 points.
Appeal Exam:
The student will pass if the result of the exam is equal to or greater than 10 points.
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References
References
- Murteira,B., Antunes, M. - Probabilidades e Estatística, Vol I. Escolar Editora, 2012. ISBN: 9789725923559.
- Murteira,B., Antunes, M. - Probabilidades e Estatística, Vol II. Escolar Editora, 2012. ISBN: 9789725923597.
- Pedrosa, A.C., Gama, S.M. - Introdução computacional à Probabilidade e Estatística - Com Excel. 3ª Edição. Porto Editora, 2016. ISBN: 9789720019905.
- André Jorge - Probabilidades e Estatística para Engenharia. 2ª Edição.LIDEL, 2018.ISBN:9789897522703.
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Office Hours
Office Hours
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Mobility
Mobility
Yes
