SF1923 Probability Theory and Statistics 6.0 credits
Sannolikhetsteori och statistik
The overall purpose of the course is that the student should be well acquainted with basic concepts, theory, models and solution methods in probability theory and statistical inference.
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Offering and execution
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Course information
Content and learning outcomes
Course contents *
Basic concepts such as probability, conditional probability and independent events. Discrete and continuous random variables, in particular one dimensional random variables. Measures of central tendency, dispersion and dependence of random variables and data sets. Common distributions and models, such as the normal, binomial and Poisson distributions. The Central limit theorem and the Law of large numbers.
Descriptive statistics. Point estimates and general methods of estimation, such as maximum likelihood estimation and the method of least squares. General confidence intervals and in particular confidence intervals for the mean and variance of normally distributed data. Confidence intervals for proportions and for difference in means and proportions. Statistical hypothesis testing. Chi2-tests of goodness of fit, homogeneity and independence. Linear regression.
Intended learning outcomes *
To pass the course, the student should be able to
- solve problems that require knowledge about standard concepts and methods in probability theory
- solve problems that require knowledge about standard concepts and methods in statistics
Course Disposition
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Literature and preparations
Specific prerequisites *
Completed course SF1625 Calculus in one variable.
Recommended prerequisites
SF1626 Calculus in Several Variable, SF1624 Algebra and Geometry
Equipment
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Literature
Blom et al., Sannolikhetsteori och statistikteori med tillämpningar, Studentlitteratur
Complemental material from the department.
Examination and completion
Grading scale *
A, B, C, D, E, FX, F
Examination *
- TEN1 - Examination, 6.0 credits, Grading scale: A, B, C, D, E, FX, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability.
Opportunity to complete the requirements via supplementary examination
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Opportunity to raise an approved grade via renewed examination
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Examiner
Further information
Course web
Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.
Course web SF1923Offered by
Main field of study *
Technology
Education cycle *
First cycle
Add-on studies
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Contact
Tetyana Pavlenko (pavlenko@kth.se)
Ethical approach *
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Supplementary information
Only for students enrolled in the Degree Programme in Medical Engineering (CMEDT).