# Before choosing course

### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

* Retrieved from Course syllabus HF1906 (Autumn 2019–)

## Content and learning outcomes

### Course contents

• Statistics: Descriptive statistics.
• Sets and combinatorics. Probability theory, basic notations.
• Sample spaces, dependent and independent events. Conditional probability. The theorem of total probability.
• Stochastic variables. Expected value, variance and standard deviation.
• Discrete stochastic variables.
• Uniform, hypergeometric distribution.
• The binominal and Poisson distributions.
• Continuous random variables.
• Uniform distribution, exponential and normal distribution.
• Functions of random variables. The central limit theorem.
• Point estimation and confidence intervals for means.
• Digital tools

Further information

Course web HF1906

### Intended learning outcomes

After completion of the course the student should be able to

Explain the meaning of basic concepts and theorems in the parts of mathematical statistics described by the course content
• Use basic concepts and theorems in the parts of mathematical statistics that are described by the course content in problem solving in order to be able to solve applied problems.
For higher grades, the student should also be able to
• Explain how different theorems and concepts are connected and be able to solve problems by combining concepts from different parts of the course.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Basic knowledge in calculus and linear algebra.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

Kerstin Vännman, Matematisk statistik, ISBN:9789144016900

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• TEN1 - Examination, 5,0 hp, betygsskala: 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.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### 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 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 HF1906

### Offered by

CBH/Biomedical Engineering and Health Systems

Technology

First cycle