Course syllabus

# Grundläggande sannolikhetsteori Basic Probability Theory

## FMSF35, 4 credits, G2 (First Cycle)

Valid for: 2017/18
Decided by: PLED I
Date of Decision: 2017-04-10

## General Information

Compulsory for: IEA3
Language of instruction: The course will be given in Swedish

## Aim

to give a general introduction to probability theory

## Learning outcomes

Knowledge and understanding
For a passing grade the student must

• in practical situations be able to identify and do computations on different combinatorial ways of selection
• have a good understanding of the basic concepts in probability theory: independent events, probability, discrete and continuous distributions, expectation and variance
• have knowledge about how to compute, from a specific distribution, the probability of an event and the expectation and variance, and be able to show capability to carry out the computations essentially correctly.

Competences and skills
For a passing grade the student must

• be able to show good computational ability within the scope of the course
• in connection with problem solving be able to demonstrate an ability to integrate methods from different parts of the course
• be able to demonstrate an ability to explain a mathematical reasoning in a well-structured and logically clear way.

## Contents

The probability axioms. Conditional probability. Independent events. Stochastic variables. Expectation and variance. The normal distribution, the binomial distribution and other important distributions. Functions of stochastic variables.

## Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Written test comprising theory and problem solving.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.