# HF1012 Mathematical Statistics 6.0 credits

### Offering and execution

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## Course information

### 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.
• Covariance, correlation, regression line
• Markov chains
• Introduction to M/M/m queueing systems

#### Intended learning outcomes *

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#### Course Disposition

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### Literature and preparations

#### Specific prerequisites *

Mathematics corresponding to Linear algebra and calculus in one variable.

#### Recommended prerequisites

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#### Equipment

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#### Literature

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### Examination and completion

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

#### Examination *

• LAB1 - Lab Work, 2.0 credits, Grading scale: P, F
• TEN1 - Examination, 4.0 credits, 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.

#### Opportunity to complete the requirements via supplementary examination

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

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### 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 HF1012

#### Offered by

CBH/Biomedical Engineering and Health Systems

#### Main field of study *

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First cycle