TAMS42 · 6 credits · Basic level (G2F) · Matematik, Tillämpad matematik
Probability and Statistics, First Course
Active · next start HT 2026
53%
passed the latest ordinary exam
TEN2 · 17 Jan 2026 · 19 students
55%
passed the ordinary exams, all sittings over the last 5 years
TEN2 · 42 students
86%
Harder than 86% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 42 students.
Part of 1 programme
Exam
TEN2 Written examination
- 5
- 4
- 3
- U
Ordinary exams
55% passed · 42 students
- 53%19
- 57%23
Re-exams
92% passed · 24 students
- 92%13
- 91%11
- Pass the re-exam: 92% (24 students), compared with 55% (42 students) on the ordinary exam
- Get 4 or 5: 21% (66 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.
- 67%3
- 100%1
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
56% passed · 177 students
- 14%7
- 80%15
- 78%9
- 58%24
- 62%21
- 67%12
- 43%14
- 39%23
- 76%17
- 50%14
- 43%21
Re-exams
65% passed · 189 students
- 40%5
- 17%6
- 78%9
- 65%23
- 76%127
- 5%19
- Pass the re-exam: 65% (189 students), compared with 56% (177 students) on the ordinary exam
- Get 4 or 5: 29% (366 students)
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.
- 75%4
- 50%4
- 100%1
- 100%4
Hand-in or lab
UPG1 Computer exercises
- G
Main rounds
100% passed · 94 students
- 100%30
- 100%31
- 100%33
Later rounds
100% passed · 140 students
- 100%140
- Pass a later round: 100% (140 students), compared with 100% (94 students) on the ordinary exam
Show small sittings (7)
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%1
- 100%1
- 100%1
- 100%1
- 100%1
- 100%1
Hand-in or lab
UPG2 Computer exercises
- G
Main rounds
100% passed · 59 students
- 100%28
- 100%31
Later rounds
No sittings with at least 5 students.
About the course
Aim
The aim of the course is to give an introduction to probability and statistics, i.e. to introduce theoretical probability models and to give methods for statistical inference based on observed data. By the end of the course the student should be able to:
- M1 (probability calculations): describe and use models for phenomena affected by chance and carry out probability calculations.
- M2 (stochastic variables): use random variables and their properties to describe and explain random variation.
- M3 (point estimates): use an appropriate random model to describe and analyze observed data, draw conclusions about parameters of interest, and derive point estimates of parameters and analyze their properties.
- M4 (Confidence intervals and hypothesis testing): summarize the principles of drawing conclusions via confidence intervals and hypothesis testing, and construct confidence intervals and conduct hypothesis testing for observed data, report the conclusions and assess certainty.
- M5 (Software): use Matlab or R software to analyze and solve probability and statistics problems.
Content
- Probability theory: Sample space, events and probabilities. Combinatorics. Conditional probabilities and independent events. Discrete and continuous random variables, their probability distributions, expectations and variances. Normal, exponential, binomial, Poisson distributions etc. The Central Limit Theorem.
- Statistics: Point estimation. Properties of estimators. The method of maximum likelihood, the method of moments and the least squares estimation. Confidence intervals. Testing statistical hypotheses. Linear and logistic regression. Problem solving focused on issues from technology, science, quality control etc.
- Examiner
- Xiangfeng Yang
- Scheduled hours
- 50 h
- Main field of study
- Matematik, Tillämpad matematik