ひろぶろ : 【数学】　ギャンブラーのヒント!? 正規分布の法則を可視化したオモチャ!!

正規分布、いわゆる「バラつきの法則」とも言われる現象を可視化して見せてくれるちょっとした仕掛け。
一見、均等にバラつくように仕分けされそうな仕組みですが、実際には確率論の正規分布のグラフと同じように、期待値が51％以上で大数の法則を利かせれば、玉は徐々に真ん中に集まっていく…。

Galton Board

physicsfunHexstat Probability Demonstrator

Hexstat Probability Demonstrator: 256 balls fall down 7 levels of branching paths and always end up in the same distribution. Each ball has a 50/50 chance of following each branch such that the balls are distributed at the bottom by the mathematical binomial distribution. The Hexstat is a modern version of the Galton Box invented by Sir Francis Galton(1894) to demonstrate the Central Limit Theorem showing how random processes gather around the mean. In this case the binomial distribution seen here would approximate the normal distribution if the number of final bins were greatly increased. In addition the number of balls in each bin can be predicted by Pascal's triangle! To my mind statistics seems closer to physics than pure math. ➡️ Follow the link in my profile for more info and where to buy many of these physics toys. #statistics #math #mathtoy #physicstoy #physics #random #galtonbox #SirFracisGalton #hexstat #probability #pascalstriangle #binomial #binomialdistribution #gaussian #centrallimittheorem #quincunx #turbulence #iphoneslomo #250fps #slomo #science #scienceisawesome #mathstoys

physicsfunさん(@physicsfun)が投稿した動画 - 2016 4月 24 7:53午後 PDT