# Statistics

 Subject Statistics Semester 3rd semester (autumn) Type Required ECTS 9 ECTS Study programme: Business studies (undergraduate) Primary language: Slovene
Introduction
The course will be carried out in the Slovene language and is an obligatory course in accordance with the officially approved curriculum of the Undergraduate Degree Program in Business Studies. The subject consists of 8 interconnected modules.

Preconditions
Students must have a sufficient general knowledge of basic calculus and algebra to carry out operations such as probability, integration, derivation. Students must have a sufficient English language skills to be able to independently use the material on the MITOCW web portal to assist them during the course.

Goals
To learn the vocabulary and fundamental concepts of probability theory.
To understand the principles of statistical reasoning.
To build a basic toolbox for the beginner's work with statistical tools by understanding its usability and boundaries.
To use a computer platform for statistical simulations (R-Studio).
To become an educated user of statistical information.
To prepare for further course in advanced business statistics in the second year of study.

Competencies
Ability to use basic combinatorics (multiplication rule, combination, permutation) to calculate probability.
Basic ability to use the R-Studio platform to simulate probability scenarios.
Basic ability to understand conditional probabilities and the use of Bayes's theorem, ability to check the independence of events, etc.
The ability to work with discrete random variables (Bernoulli, binomial, geometric and Poisson distributions).
The ability to work with continuous random variables (uniform, normal, exponential distribution).
The ability to calculate expected values and variances.
The ability to use the law of large numbers and the central limit theorem.
The ability to obtain covariance and correlation between jointly distributed random variates.
The ability to find and use available sources (Internet, books, articles) about other distributions.

Syllabus
• Introductory lectures. Counting, Sets.
• Probability, introduction to R-Studio.
• Conditional probability.
• Discrete random variables, simulations in R-Studio.
• Variance, continuous random variables.
• The law of large numbers and the central limit theorem.
• Total distributions, covariance and correlation, work with R-Studio.
• Computer module (R-Studio).
Teaching and learning activities
Teacher explanations
Conversation / debate
Individual research / homework

Evaluation systems and criteria
Evaluation consists of 1) Written exam (70/100), 2) Homework (10/100), 3) Computer seminar (20/100). Written examination can be replaced by two colloquia, which are envisaged after the module 4 and at the end of the course (i.e. after the module 8).
Preparation of a computer seminar and homework are not prerequisites to the written examination. The points reached at the seminar and for homework assignments are awarded until the end of the current semester in which the course is carried out. The points for both can be obtained only within the semester in which the course is carried out.
Submission of the seminar: paper version no latter that at the colloquium 2.
Homework assignments: paper version (or by email) at each meeting for the last module. Too late submissions will not be considered. The final homework should be submitted no later than at the colloquium 2.

Teaching and learning material
• MITOCW web-portal: https://ocw.mit.edu/courses/mathematics/18-05-introduction-to-probability-and-statistics-spring-2014/index.htm. Students must check the rules of the material use at: https://ocw.mit.edu/terms.
• Lecture slides (pdf) and computer modules in R-Studio with additional materials for computational modules
• Other study materials.
Office hours
• before and after the lectures
• by agreement

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