Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |

Subject guarantor | Mgr. Marcela Rabasová, Ph.D. | Subject version guarantor | Mgr. Marcela Rabasová, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 2 | Semester | summer |

Study language | Czech | ||

Year of introduction | 2002/2003 | Year of cancellation | 2019/2020 |

Intended for the faculties | HGF | Intended for study types | Bachelor |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

KAH14 | Mgr. Marcela Rabasová, Ph.D. | ||

STA22 | doc. RNDr. František Staněk, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 1+2 |

The aim of the course is to provide theoretical and practical foundation for understanding of the meaning of basic probability terms and teach the student to statistical thinking as a way of understanding of the processes and events around us, to acquaint him with the basic methods of statistical data gathering and analyzing, and to show how to use these general procedures in other subjects of study and in practice.
Graduates of this course should be able to:
• understand and use the basic terms of combinatorics and probability theory;
• formulate questions that can be answered by the data, learn the principles of data collecting, processing and presenting;
• select and use appropriate statistical methods for data analysis;
• propose and evaluate conclusions (inferences) and predictions using the data.

Lectures

Tutorials

Combinatorics and probability. Random events, operations with them, sample space.
Definitions of events' probability - classical, geometrical, statistics. Conditional probability. Total probability and independent events.
Random variable and its characteristics.
Basic types of probability distributions of discrete random variables.
Basic types of probability distributions of continuous random variables.
Random vector, probability distribution, numerical characteristics.
Statistical file with one factor. Grouped frequency distribution.
Statistical file with two factors.
Regression and correlation.
Random sample, point and interval estimations of parameters.
Hypothesis testing.

Radim Briš, Petra Škňouřilová. STATISTICS I. VŠB - Technical University of Ostrava, Ostrava 2007.

W.J. DeCoursey: Statistics and Probability for Engineering Applications With Microsoft(R) Excel. Copyright © 2003 Elsevier Inc. ISBN 978-0-7506-7618-2. Available on-line: http://www.sciencedirect.com/science/book/9780750676182
Atwood C. L. Hits per Trial: Basic Analysis of Binomial Data. Department of Energy, 1994 ; DOI: 10.2172/10191270. Available on-line: http://www.osti.gov/bridge/product.biblio.jsp?osti_id=10191270

Conditions for passing the course
*********************************
Course credits
- attendance on tutorials is obligatory, 20% of absence can be apologized,
- obligatory completion of tests, each test can be repeated once (student can get 0-15 points from tests),
- submission of programs in required time and prescribed form (students will gain 5 points for programs).
Point classification: 5-20 points.
Exam
Practical part of an exam is classified by 0-60 points. Practical part is successful if student obtains at least 25 points.
Theoretical part of the exam is classified by 0-20 points. Theoretical part is successful if student obtains at least 5 points.
Student must successfully pass both parts of the exam in the same day.
Point quantification in the interval and National grading scheme
100 - 86 85 - 66 65 - 51 51 - 0
excellent very good satisfactory failed

They are no other requirements for students.

Subject has no prerequisities.

Subject has no co-requisities.

1. Combinatorics
2. Introduction to probability
3. Conditional probability and independent events. Bayes' theorem. Theorem of total probability
4. Random variable and its characteristics
5.-7. The basic distributions of discrete and continuous random variable
8. Random vector
9. Statistical file with one factor
10. Statistical file with two factors
11. Regression and correlation
12. Point and interval estimates of parameters
13. Hypothesis testing
14. Reserve

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Credit and Examination | Credit and Examination | 100 (100) | 51 |

Credit | Credit | 20 | 5 |

Examination | Examination | 80 (80) | 30 |

Písemná zkouška | Written examination | 60 | 25 |

Ústní zkouška | Oral examination | 20 | 5 |

Show history

Academic year | Programme | Field of study | Spec. | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|

2017/2018 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2016/2017 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2015/2016 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2014/2015 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2013/2014 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2012/2013 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2011/2012 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2010/2011 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2009/2010 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2008/2009 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2007/2008 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2006/2007 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2005/2006 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | P | Czech | Ostrava | 2 | Compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner | |
---|---|---|---|---|---|---|---|---|---|

Subject block without study plan - HGF - P - cs | 2018/2019 | Full-time | Czech | Optional | HGF - Faculty of Mining and Geology | stu. block |