mean_and_variance_of_binomial_distribution
Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| mean_and_variance_of_binomial_distribution [2025/10/06 23:15] – [Proof of Binomial Expected Value, from a scratch] hkimscil | mean_and_variance_of_binomial_distribution [2025/10/06 23:50] (current) – [Proof of Binomial Expected Value, from a scratch] hkimscil | ||
|---|---|---|---|
| Line 1: | Line 1: | ||
| - | ====== Proof of Binomial Expected Value, from a scratch ====== | + | ====== Proof of Binomial Expected Value and Variance (from scratch) ====== |
| + | 이항분포에서의 평균과 분산 증명 | ||
| see [[:The Binomial Theorem]] | see [[:The Binomial Theorem]] | ||
| Line 10: | Line 10: | ||
| 위의 식이 복잡해 보이지만 m = 3 일때 이항정리식이 아래처럼 전개됨을 뜻한다. | 위의 식이 복잡해 보이지만 m = 3 일때 이항정리식이 아래처럼 전개됨을 뜻한다. | ||
| \begin{align*} | \begin{align*} | ||
| - | \sum^{m}_{y=0}{{m}\choose{y}} a^{y} b^{m-y} \;\;\; \dots \text{m = 3} \\ | + | \sum^{m}_{y=0}{{m}\choose{y}} a^{y} b^{m-y} \;\;\; \dots \; |
| \end{align*} | \end{align*} | ||
mean_and_variance_of_binomial_distribution.1759760148.txt.gz · Last modified: by hkimscil