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
approximate amount of contact lessons
32
Teaching semester
autumn
Assessment form
Examination
lecturer of 2019/2020  Autumn semester
õppejõud on määramata
lecturer of 2019/2020  Spring semester
lecturer not assigned
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.
Independent work
Elaborating the lectures and the study literature, solving problems. Solving home assignments and writing them up in proper format, It is assumed that the student takes part of classroom lectures.
Learning outcomes in the course
After passing this 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.
Assessment methods
Written exam.
Teacher
lekt Tõnu Tõnso
Study literature
Pärna, K.; Tõenäosusteooria algkursus, 2013, Tartu Ülikooli Kirjastus, Tartu.
Ross, S. M.; A First Course in Probability, 2002, Prentice-Hall Inc, New Jersey.
Õppematerjalid aadressilt:: www.tlu.ee/~tonu/tnt.