- Probability theory: Combinatorics, outcome space, dependent and independent events, random variables, expected value, variance, standard deviation, conditional probability, total probability law, functions of random variables and the central limit theorem.
- Probability distributions: Discrete and continuous uniform distribution, binomial distribution, Poisson distribution, exponential distribution, normal distribution and t-distribution.
- Statistical inference: Confidence intervals for one and two means and for paired dependent data.
- Descriptive statistics, digital tools, uncertainty analysis in measurement technology, and an introduction to the concepts of correlation and simple linear regression.
AF1765 Mathematics 3, Statistics 5.0 credits

Information per course offering
Information for Spring 2026 Start 16 Mar 2026 programme students
- Course location
KTH Campus
- Duration
- 16 Mar 2026 - 1 Jun 2026
- Periods
Spring 2026: P4 (5 hp)
- Pace of study
25%
- Application code
60043
- Form of study
Normal Daytime
- Language of instruction
Swedish
- Course memo
- Course memo is not published
- Number of places
Places are not limited
- Target group
- No information inserted
- Planned modular schedule
- [object Object]
- Schedule
Contact
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus AF1765 (Spring 2026–)Headings with content from the Course syllabus AF1765 (Spring 2026–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
After completing the course, the student should be able to:
- define and interpret key concepts in mathematical statistics
- use basic theorems and methods from mathematical statistics to solve applied problems
- explain how uncertainty analysis is used in measurement technology
- use software to solve problems within the scope of the course.
For higher grades, students should also be able to:
- solve more advanced problems in mathematical statistics.
Literature and preparations
Specific prerequisites
No information inserted
Literature
You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.
Examination and completion
Grading scale
A, B, C, D, E, FX, F
Examination
- TEN1 - Written exam, 4.0 credits, grading scale: A, B, C, D, E, FX, F
- TENB - Written exam, 1.0 credits, grading scale: P, 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.
If the course is discontinued, students may request to be examined during the following two academic years.
Examiner
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.
Further information
Course room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Main field of study
Mathematics
Education cycle
First cycle