Statistics and Probability (5 cr)

Evaluation scale

H-5

Content scheduling

The course will begin on week 36 and end on week 50.

Topics include:
- mean and standard deviation figures
- diagrams and their differences
- regression, correlation
- basic definitions and formulas of probability
- discrete probability distribution, binomial distribution, Poisson distribution
- continuous probability distribution, normal distribution, normalization
- statistical testing, sampling, confidence interval
- z-test and t-test of average
- contingency tables and chi-square test

Objective

After completing the course the student can:
- calculate different mean and standard deviation figures for a given statistical data
- determine the regression line and correlation, and understand their significance
- identify and draw various statistical diagrams
- recognize the basic concepts of continuous and discrete probability distributions
- normalize a normally distributed variable and calculate the associated probabilities
- calculate confidence intervals and understand the significance of error in statistical mathematics
- determine p-value using the z-test and t-test of average
- construct contingency tables and apply the chi-square test
- utilize information technology in the processing and analysis of statistical data

Content

- mean and standard deviation figures
- diagrams and their differences
- regression, correlation
- basic definitions and formulas of probability
- discrete probability distribution, binomial distribution, Poisson distribution
- continuous probability distribution, normal distribution, normalization
- statistical testing, sampling, confidence interval
- z-test and t-test of average
- contingency tables and chi-square test

Materials

Teacher's materials in conjunction with the free online textbook: Introductory Statistics 2e by OpenStax.

For additional reading, the following book is recommended: Probability and Statistics (3rd edition), Murray R. Spiegel, John J. Schiller, R. Alu Srinivasan, SCHAUM’S outlines

Teaching methods

Lectures, teacher-directed classroom activities, group work and independent work

Exam schedules

1st part-exam: week 43
2nd part-exam: week 50
The possibility to retake part-exams is organized in Dec/Jan (time to be announced later)

International connections

During the course we will learn statistical and probability skills and knowledge fundamental for an ICT-engineer's profession. Various forms of technology are widely used in all topics and students are encouraged to learn more ways to use technology in solving problems within the course's topics. A lot of learning happens in class with the guidance of the teacher but independent study and homework is important as well.

Sustainable development aspects are considered during the course. Lecture material and homework feature examples about creating an ecologically sustainable and resilient society, and the impact of statistics in promoting sustainable development is discussed.

Completion alternatives

The course may be completed with a special exam that proves the student's competence with the course topics. This must be agreed separately with the teacher. If the student is interested, they should contact the teacher.

Student workload

Contact lessons and exams: 56 h (approx. 4 h / week)
Independent study, homework and preparation for part-exams: 70 h (approx. 5 h / week)

Qualifications

Courses Engineering Precalculus, Calculus and Topics in Applied Mathematics
OR
equivalent skills

Further information

All practical information is provided in ITSLEARNING.

It is possible to do an optional statistical project during the course which will give you an extra 2 credits, i.e. a total of 7 credits. This project will be about a topic of your own choosing (with the help of the teacher) and you are expected to use a wide range of statistical and/or probabilistic methods in it. You are expected to gather, process, present and analyse data and produce a report about it, to be submitted by the end of the course by an agreed upon deadline. It is expected that you devote approximately 30-50 hours of work into this. The report won't affect your course grade but, if it contains the required elements and is of an appropriate depth, you will get the 2 extra credits. The teacher must be informed prior to beginning this project.