[問題] 二項的偏態求算
爬了一下板上的文章...好像很少提到關於偏態的...
最近練習自己導出偏態,不過怎麼算就是無法化簡成答案
希望板上的高手們幫幫忙
E(x) = np
E(x^2) = np + n(n-1)p^2
E(x^3) = np + 3n(n-1)p^2 + n(n-1)(n-2)p^3
m3' = E(x-np)^3
= E(x^3) - 3np*E(x^2) + 3(np)^2*E(x) - (np)^3
= np + 3n(n-1)p^2 + n(n-1)(n-2)p^3 - 3(np)^2 - 3n^2(n-1)p^3 + 2(np)^3
答案應該是np(1-p)*(1-2p)
謝謝<(_ _)>
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