STK1100 - Probability and statistical modelling

Schedule, syllabus and examination date

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Course content

The course gives a basic introduction to probability and the use of probability models to describe random variables and stochastic processes. The course also gives an introduction to statistical inference, that is how to extract information from data. The course gives a good background for STK1110 - Statistical methods and data analysis 1

Learning outcome

After having completed the course:

  • You know about the concept of probability and master the basic rules of probability.
  • You know about random variables, and are able to find expectation, variance, covariance and moment generating functions.
  • You know about the most common univariate probability models, and have seen examples of bivariate models.
  • Are you able to do computations with univariate and bivariate distributions and to determine conditional distributions.
  • You know about the law of large numbers and the central limit theorem.
  • You know methods for estimation and construction of confidence intervals in some simple situations.
  • You know about stochastic simulation and bootstrapping.


Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.


Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

One of these:

  • Mathematics R1
  • Mathematics (S1+S2)

And and in addition one of these:

  • Mathematics (R1+R2)
  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies. Read more about special admission requirements (in Norwegian).

Recommended previous knowledge

MAT1100 - Calculus and MAT-INF1100 - Modelling and computations.

Overlapping courses

10 credits with ST100.

Starting the spring semester 2010 STK1100 will overlap 5 credits against ST001.

*The information about overlaps is not complete. Contact the department for more information if necessary.


3 hours of lectures, 2 hours of exercises/datalab in groups under guidance and 1 hour of topics examined in plenum.

From 2014: 4 hours of lectures and 2 hours of plenary exercises per week. In addition group exercises/computer lab.


Two compulsory assignments need to be passed within given deadlines to be allowed to take the final exam.

Midterm exam and final written digital exam at the end of the semester add up to the final grade. Both exams are compulsory and have to be taken in the same semester.

Midterm exam counts for 1/3 and the final exam counts for 2/3. The final grade is based on the total score and a general impression after the final examination.

Rules for compulsory assignments at the Department of Mathematics

Examination support material

Permitted aids at the exam: approved calculator and formula list for STK1100/ STK1110.
Information about approved calculators (Norwegian only)

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

This course offers both postponed and resit of examination. Read more:

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course






Every spring


Every spring

Teaching language