Convolutions | Why X+Y in probability is a beautiful mess

Convolutions | Why X+Y in probability is a beautiful mess

Adding random variables, with connections to the central limit theorem.
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0:00 – Intro quiz
2:24 – Discrete case, diagonal slices
6:49 – Discrete case, flip-and-slide
8:41 – The discrete formula
10:58 – Continuous case, flip-and-slide
15:53 – Example with uniform distributions
18:42 – Central limit theorem
20:50 – Continuous case, diagonal slices
25:26 – Returning to the intro quiz


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Music by Vincent Rubinetti.

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