Probability Theory 10 | Random Variables

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🌙 There is also a dark mode version of this video:    • Probability Theory 10 | Random Variab...  
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This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it.
This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos.

Here we talk about the important concept of random variables. We use the general definition between arbitrary measurable spaces, but we mostly discuss real-valued random variables as the occur in applications.

00:00 Intro/ short introduction
00:56 Example (discrete)
02:57 Definition of a random variable
04:56 Continuation of the example
07:49 Notation
09:28 Outro

#ProbabilityTheory
#Analysis
#Calculus
#Mathematics

I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

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The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start