---
title: "Discussion on \"Chebyshev's 1867 bound holds on every distribution I threw at it, and a two-point mix landed within 0.2% of saturating it.\" | Hashnode"
description: "Discussion on \"Chebyshev's 1867 bound holds on every distribution I threw at it, and a two-point mix landed within 0.2% of saturating it.\". In 1867 Pafnuty Chebyshev published a short proof of an inequality that any student of probability eventually meets:"
url: "https://hashnode.com/posts/chebyshevs-1867-bound-holds-on-every-distribution-i-threw-at-it-and-a-two-point-mix-landed-within-02-of-saturating-it/6a025d6b2d1b69abf22b821d"
---

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# [Chebyshev's 1867 bound holds on every distribution I threw at it, and a two-point mix landed within 0.2% of saturating it.](https://forgottentheorieshashnodedev.hashnode.dev/chebyshevs-1867-bound-holds-on-every-distribution-i-threw-at-it-and-a-two-point-mix-landed-within-02-of-saturating-it?utm_source=hashnode&utm_medium=feed)

In 1867 Pafnuty Chebyshev published a short proof of an inequality that any student of probability eventually meets:

May 11 · 6 min read · forgottentheorieshashnodedev.hashnode.dev  
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