# 714-0586/01 – Statistics (S)

 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 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
KAH14 Mgr. Marcela Rabasová, Ph.D.
STA22 doc. RNDr. František Staněk, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 1+2

### Subject aims expressed by acquired skills and competences

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

### Summary

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.

### Compulsory literature:

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

### Recommended literature:

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

### Way of continuous check of knowledge in the course of semester

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

### Other requirements

They are no other requirements for students.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

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

### Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType 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

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - HGF - P - cs 2018/2019 Full-time Czech Optional HGF - Faculty of Mining and Geology stu. block