Expected Length of Segment

Revision en1, by LilyWhite, 2019-09-25 18:22:16

Given a segment of length $$$1$$$, randomly pick two points $$$A$$$ and $$$B$$$ (we can assume that $$$A$$$ is to the left of $$$B$$$, if not, just swap them), what is the expected length of segment $$$AB$$$.

For Chinese readers, Chinese statement is here:

Chinese Statement

Someone says that it is related to the theoretical proof of Chtholly Tree, but I simply cannot understand why...

Tags #math, expectation, #probability-theory, #probabilities

History

 
 
 
 
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  Rev. Lang. By When Δ Comment
en2 English LilyWhite 2019-09-25 18:32:39 75 Update
en1 English LilyWhite 2019-09-25 18:22:16 473 Initial revision (published)