Statistics and probability theory

Statistics and the probability theory

Course for students of Biomedical Engineering, specialization Medical Engineering. It includes lectures and corresponding classes.
Lectures are held on Thursdays, - , r. 312b/D-1


1. Organization of the course/Syllabus

Attendance at lectures is obligatory (one or two absences without excusing are allowed). Grading policy: at the end of the course there will be written examination (5 problems to solve). Your final grade will be formed on the basis of the exam results.
The detailed requirements for attending at classes will be given by the instructors.

The exam will take place on


I Term 5.02.2026, 9:15 h, r. 301/D-2 (basic term)
II Term 20.02.2026, 9:15 h, r. 301/D-2 (this is the resit exam, you have to take it only if you don't pass the basic exam)

Grading policy on classes

If the instructor does not fixed different rules, there will be two tests each with 4 problems, the first in midterm and second at the end. The solution of each problem will be graded in the scale 0 - 5 points. For other activities on classes (short tests, answers at the blackboard) you will can get additionally up to 10 points. The final grade for classes will be formed according to the table

Pkt0..1819..2425..2930..3435..3940..50
C2.0 3.0 3.5 4.0 4.5 5.0

Lecture notes:


  • lect. on 2025_10_02
    • Auxiliary files:
  • Excel spreadsheet
  • Matlab code
  • data set

    • Remark:
    To run the Octave (or Matlab) codes on your laptops
    1. you have to install the Octave
    2. being linked to internet and having opened the Octave platform, you have to install the statistics package
    >>pkg install -forge statistics
    next the statistics package have to be loaded into the Octave platform
    >>pkg load statistics
    4. now the Octave platform is ready to run our Octave codes.

  • lect. on 2025_10_09

  • lect. on 2025_10_10
    • Auxilliary files:
    problem_set on 2025_10_10
    Exercise 1: the octave code, data set: file_01_10.txt
    Exercise 2: the octave code,
    Exercise 3: the octave code, data set: file_03_10a.txt, file_03_10b.txt
    Exercise 5: the octave code, data set: file_05_10a.txt, file_05_10b.txt, file_05_10c.txt, file_05_10d.txt,
    Exercise 6: the octave code, data set: file_06_10.txt,
    Exercise 7: the octave code, data set: file_07_10.txt

  • lect. on 2025_10_23
    • Auxilliary files:
    Exercise 1 and 2 (making scatterplots, determining the coefficient of correlation): the octave code,
    data set: file_03_11a.txt file_03_11b.txt
    Exercise 3 (the regression line): the octave code,
    data set: file_03_11a.txt, file_03_11b.txt
  • lect. on 2025_10_30
  • lect. on 2025_11_06
  • lect. on 2025_11_20
  • lect. on 2025_11_27
  • lect. on 2025_12_04


    • Problem sets:

  • Problem set 1
  • Solutions to Problem set 1 (done by instructor)
  • Problem set 2
  • Solutions to Problem set 2 (done by instructor)
  • Problem set 3
  • Solutions to Problem set 3 (done by instructor)
  • Problem set 4
  • Solutions to Problem set 4 (done by instructor)
  • Problem set 5
  • Solutions to Problem set 5 (done by instructor)
  • Problem set 6
  • Solutions to Problem set 6 (done by instructor)
  • Problem set 7 (Probabilistic distribution of a discrete random variable)
  • Problem set 8 (Probabilistic distribution of a continuous random variable)

    • Primary Literature