TAIU06 · 6 credits · Basic level (G1F) · Matematik, Tillämpad matematik
Mathematical Statistics
Active · next start VT 2027
91%
passed the latest ordinary exam
TENA · 27 Mar 2026 · 57 students
71%
passed the ordinary exams, all sittings over the last 5 years
TENA · 267 students
Unusually easy in 2025/26
91% passed the ordinary exam in 2025/26 (57 students), against 63% on average in earlier years (210 students).
Part of 2 programmes
Exam
TENA Written Examination
- 5
- 4
- 3
- U
Ordinary exams
71% passed · 267 students
- 91%57
- 75%55
- 84%56
- 67%58
- 27%41
Re-exams
63% passed · 98 students
- 83%6
- 100%5
- 85%13
- 80%5
- 76%17
- 64%22
- 42%12
- 28%18
- Pass the re-exam: 63% (98 students), compared with 71% (267 students) on the ordinary exam
- Get 4 or 5: 34% (365 students)
Show small sittings (2)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 50%2
- 75%4
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Hand-in or lab
LAB1 Computer Exercise
- G
Main rounds
100% passed · 254 students
- 100%55
- 100%48
- 100%63
- 100%44
- 100%44
Later rounds
100% passed · 5 students
- 100%5
- Pass a later round: 100% (5 students), compared with 100% (254 students) on the ordinary exam
Show small sittings (4)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
- 100%4
- 100%1
- 100%1
About the course
Aim
This course intends to provide an introduction to mathematical modelling of random experiments and statistical theory/methodology. The course also illustrates applications, in particular within the fields of engineering and science. After completing the course the student should be able to:
- M1 (Modelling): identify questions where random factors can affect the result, explain basic probability theoretical concepts, e.g. random variables, probability function, density function and distribution function, set up relevant probability theoretical models for simple random experiments
- M2 (Theory and Method): use the basic concepts and theorems to calculate important quantities in probability-theoretic models, e.g. probabilities and expected values, explain basic concepts and methods in statistical theory, such as point estimates, confidence intervals and tests, choose appropriate statistical analysis methods and apply these to simple probability-theoretic models constructed from observed data
- M3 (Accounting): argue for their approaches using relevant concepts within the course, and report clear calculations and reasoning.
- M4 (Software): MATLAB
Content
Sample space, events and probabilities. Combinatorics. Conditional probability and independent events. Random variables and their probability distributions: exponential, normal, binomial och Poisson distributions. Expected value and standard deviation. Central limit theorem. Descriptive statistics. Point estimation of Expected value and standard deviation. Confidence interval and tests of hypotheses. Chi-square test. Simple linear regression. Engineering applications. Simulation.
- Examiner
- Martin Singull
- Scheduled hours
- 42 h
- Main field of study
- Matematik, Tillämpad matematik