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, both visual and numerical presentation.
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
carry out project work in a group with larger and realistic data sets and use statistical methods to support decisions that can support sustainable development
The course consists of lectures, exercises, lab work and a project.
Literature and preparations
Specific prerequisites *
Completed course in SF1625 Calculus in one variable.
SF1626 Calculus in Several Variable, SF1624 Algebra and Geometry
No information inserted
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
Grading scale: P, F
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
No information inserted
Opportunity to raise an approved grade via renewed examination