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	<li><a href="https://tau-avoin.ilmoittaudu.fi/lobby/?realization=J-otm-aa6ec767-de50-40dc-88b7-6f4e03a668c3_2023-tampere-MATHAPP210" target="_blank">MATH.APP.210 Introduction to Probability and Statistical Inference, independent project, Tampere</a></li>
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Tampere

Introduction to Probability and Statistical Inference, Independent project

Contact information Email: open.studies.tau [at] tuni.fi Phone: 0294 520 200More information concerning Open University studies <a href="https://www.tuni.fi/open-university">tuni.fi/open-university</a>

Basic studies

Faculty of Information Technology and Communication Sciences

Technology and Natural Sciences

English

Hervanta Campus

Independent studies

Look information at <a href="https://www.tuni.fi/en/study-with-us/open-higher-education-studies/open-university/applying-open-university">Applying to Open University studies</a>.

Rules and axioms of probability theory, the probability distribution of a discrete and continuous random variable, density and cumulative distribution function, expected value, variance, and standard deviation, uniform distributions, Bernoulli, binomial, and Poisson distributions, normal distribution, t-, F- and chi^2 distributions, joint probability distribution, covariance, correlation, random sample, sample statistic, and distribution of the statistic, point and confidence interval estimation, principles of hypotheses testing, estimation and testing under Bernoulli and normal distributions.

<h2>Groups</h2><h3>Other Event:  / Laskutupa (in English)</h3>01.09.2023 12:00 - 14:00, TAU Sähkötalo SC105B opetustila (48) 08.09.2023 12:00 - 14:00, TAU Sähkötalo SC105B opetustila (48) 15.09.2023 12:00 - 14:00, TAU Sähkötalo SC105B opetustila (48) 22.09.2023 12:00 - 14:00, TAU Sähkötalo SC105B opetustila (48) 29.09.2023 12:00 - 14:00, TAU Sähkötalo SC105B opetustila (48) 06.10.2023 12:00 - 14:00, TAU Sähkötalo SC105B opetustila (48) 13.10.2023 12:00 - 14:00, TAU Sähkötalo SC105B opetustila (48) 27.10.2023 12:00 - 14:00, TAU Sähkötalo SG312 opetustila (48) 03.11.2023 12:00 - 14:00, TAU Sähkötalo SG312 opetustila (48) 10.11.2023 12:00 - 14:00, TAU Sähkötalo SG312 opetustila (48) 17.11.2023 12:00 - 14:00, TAU Sähkötalo SG312 opetustila (48) 24.11.2023 12:00 - 14:00, TAU Sähkötalo SG312 opetustila (48) 01.12.2023 12:00 - 14:00, TAU Sähkötalo SG312 opetustila (48) 08.12.2023 12:00 - 14:00, TAU Sähkötalo SG312 opetustila (48)

In this course, the student learns the basic rules of calculating the probabilities and the basics of combinatorics. He or she understands the concept of a random variable and knows the properties of expectation and variance. The student is familiar with the most often used discrete and continuous probability distributions and is able to perform probability calculations under these distributions. The student understands the concept of joint probability distribution and knows the properties of covariance and correlation. The student obtains an understanding how random sampling is used in statistical inference, and why the concept of sample statistic and the distribution of the statistic are important in inference. The student learns the basic principles of estimation and hypothesis testing theory and is able to calculate confidence interval estimates and to perform statistical hypotheses testing especially in situations of one and two groups. The student understands the limitations of the testing theory and is able to calculate different effect size measures.

Finnish

<h2>Prerequisites</h2>Compulsory prerequisites: High school mathematics or equivalent.Recommended prerequisites (any of the below or equivalent): Fundamentals of Engineering Mathematics, Differential and Integral Calculus, OR Basic concepts of Mathematics, Introduction to Analysis or Analysis for Teachers, OR Bachelor of Engineering - University of Applied Sciences, Fundamentals of Differential and Integral Calculus, OR Introduction to Statistics.

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Introduction to Probability and Statistical Inference, Independent project

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Introduction to Probability and Statistical Inference, 5 cr

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Introduction to Probability and Statistical Inference, Independent project