Probability Theory 3 | Discrete vs. Continuous Case [dark version]

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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 discrete and continuous models. In the general theory both cases are included. However, it makes sense to distinguish between them because in applications one often has the one or the other case. Therefore, it is helpful to know the differences.

00:00 Intro
00:48 Introduction of cases
02:17 Sample Space (discrete case)
02:33 Sample Space (continuous case)
03:14 Sigma algebra (discrete case)
03:36 Sigma algebra (continuous case)
03:59 Probability measure (discrete case)
05:41 Probability measure (continuous case)
07:46 Example (discrete case)
08:44 Example (continuous case)
10:38 Outro
10:57 Endcard

#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)

[Independent_Man]

1:33 I remember someone pointing out that throwing a dice infinitely many times leads to uncountably many outcomes.

[sankarindian]

Sir pdf is available only for part 1 video.. what about other parts.. how can i download all parts video pdf