Elements of Probability Theory

Course code

MLM6184.DT

old course code

Course title in Estonian

Tõenäosusteooria elemendid

Course title in English

Elements of Probability Theory

ECTS credits

4.0

Assessment form

Examination

lecturer of 2024/2025 Autumn semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

lecturer of 2024/2025 Spring semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

Course aims

The aim of the course is to introduce the basic concepts and methods of probability theory, learn to solve the problems, where the probability approach is required.

Brief description of the course

The basic concepts of probability theory. Computing classic probability. Relative frequency. Statistical probability. Geometric probability. Probability sum and product rule. Using combinatorics. Conditional probability, total probability formula and Bayes’ formula. Bernoulli’s formula. The most probable number of events in case of repeated experiments. The main principles of data processing. General population and representative sample. Variational series. Frequency table and distribution table. Data representation. Mean value. Median. Mode. Using different statistical averages. Variance and its uses. Distribution of the random variable. Probability density function. Mean value and standard deviation of the random variable. Normal distribution. Normal distribution as an approximation of binomial distribution. Moivre-Laplace formula. Correlation. Pearson correlation coefficient. Spearman's rank correlation coefficient.

Learning outcomes in the course

Upon completing the course the student:

- is able to use the notions from the course and apply the formulas. Is able to solve problems of probability theory;

- is able to compute mean value and standard deviation, use normal distribution, find Perason and Spearman’s correlation coefficients.

- is able to use the notions from the course and apply the formulas. Is able to solve problems of probability theory;

- is able to compute mean value and standard deviation, use normal distribution, find Perason and Spearman’s correlation coefficients.

Teacher

lekt Tõnu Tõnso

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