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Main menu for Browse IS/STAG
Course info
KMA / PSE
:
Course description
Department/Unit / Abbreviation
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KMA
/
PSE
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Probability and Statistics for El. Eng.
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Form of course completion
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Pre-Exam Credit
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Form of course completion
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Pre-Exam Credit
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Accredited / Credits
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Yes,
2
Cred.
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Type of completion
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-
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Type of completion
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-
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Time requirements
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Tutorial
2
[Hours/Week]
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Course credit prior to examination
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No
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Course credit prior to examination
|
No
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Automatic acceptance of credit before examination
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No
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Included in study average
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NO
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Language of instruction
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Czech, English
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Occ/max
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|
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Automatic acceptance of credit before examination
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No
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Summer semester
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270 / -
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0 / -
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0 / -
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Included in study average
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NO
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter + Summer
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Semester taught
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Winter + Summer
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Minimum (B + C) students
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1
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech, English
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
S|N |
Periodicity |
každý rok
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Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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Evaluation scale |
S|N |
Substituted course
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None
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Preclusive courses
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KMA/PSA and KMA/PSA-A and KMA/PSB
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
,
XLS
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Course objectives:
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The aim of this course is to introduce basic ideas of probability and statistical analysis.
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Requirements on student
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Students have to write all assignments successfully during semester.
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Content
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1. Events in probability spaces, definitions of probability.
2. Conditional probabilities, Bayes?s theorem, independent events.
3. Random variable. Probability density function. Distribution function. Parameters of a distribution. Mathematical expectation and moments.
4. List of important discrete distributions.
5. List of important continuous distributions.
6. Normal (Gaussian) distribution. Central limit theorem.
7. Random vector. Correlation and covariance.
8. Collection of statistical data, principles of descriptive statistics.
9. Inferential statistics (point and interval estimation), confidence intervals.
10. Statistical hypothesis testing. Null and alternative hypothesis. Rejection and acceptance region. P-value of the statistical test.
11. Chi-square goodness of fit test. Contingency tables. Tests of independent.
12. Regression analysis.
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Activities
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Fields of study
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https://courseware.zcu.cz/portal/studium/courseware/kma/pse
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Guarantors and lecturers
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Guarantors:
RNDr. Blanka Šedivá, Ph.D. (100%),
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Tutorial lecturer:
Mgr. Michal Friesl, Ph.D. (100%),
RNDr. Zdeněk Kobeda (100%),
Ing. Patrice Marek, Ph.D. (100%),
RNDr. Blanka Šedivá, Ph.D. (100%),
RNDr. Vladimír Švígler, Ph.D. (100%),
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Literature
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Recommended:
Reif, J. Metody matematické statistiky. Plzeň : Západočeská univerzita, 2004. ISBN 80-7043-302-7.
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Recommended:
Likeš, Jiří; Machek, Josef. Počet pravděpodobnosti. 2. vyd. Praha : SNTL, 1987.
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Recommended:
Devore, Jay L. Probability and statistics for engineering and the sciences. Boston, MA: Brooks/Cole, Cengage Learning, 2012. ISBN 978-0-538-73352-6.
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Recommended:
Ayyub, Bilal M.; McCuen, Richard H. Probability, statistics, and reliability for engineers and scientists. Third edition. 2011. ISBN 978-1-4398-0951-8.
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Recommended:
Brousek, Jan; Ryjáček, Zdeněk. Sbírka řešených příkladů z počtu pravděpodobnosti. 1. vyd. Plzeň : Západočeská univerzita, 1999. ISBN 80-7082-063-2.
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Recommended:
Studijní materiály KMA
(Kolektiv autorů KMA)
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Recommended:
Reif, Jiří; Kobeda, Zdeněk. Úvod do pravděpodobnosti a spolehlivosti. 1. vyd. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-702-5.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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26
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Preparation for formative assessments (2-20)
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30
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Total
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56
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
to use the principles of the differential and integral calculus |
to formulate fundamental combinatorial reasoning |
to interpret the geometrical meaning of definite integral |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
to use basic real functions |
to calculate derivations and integrals |
to calculate the sum of geometrical series |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
|
Learning outcomes
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Knowledge - knowledge resulting from the course: |
basic types of statistical distributions |
principles of the statistical hypothesisi |
correlation and regression analyses |
Skills - skills resulting from the course: |
to calculate probability based on combinatorial approac |
to find suitable mathematical models of probability distribution for real data |
to calculate the probability for selected discrete and continuous distribution |
to calculate confidence intervals for parameters of normal distribution |
to use at least two different statistical tests on real model problems and interpret the results |
Competences - competences resulting from the course: |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Skills demonstration during practicum |
Competences - competence achieved by taking this course are verified by the following means: |
Test |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Practicum |
Task-based study method |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Task-based study method |
Competences - the following training methods are used to achieve the required competences: |
Practicum |
Task-based study method |
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