Production line, binomial + expected revenue · 模块 C+D · 频次 8
X∼Bin(n, 1−pdefect)E[X2]=np(1−p)⏟Var+(np)2⏟(E[X])2X\sim\text{Bin}(n,\,1-p_{\text{defect}})\qquad E[X^2]=\underbrace{np(1-p)}_{\operatorname{Var}}+\underbrace{(np)^2}_{(E[X])^2}X∼Bin(n,1−pdefect)E[X2]=Varnp(1−p)+(E[X])2(np)2
1 - binom.cdf(k-1, n, p)
E[X]=np
Var=np(1-p)
E[X²]=Var+E[X]²
binom.cdf(k, ...)
k-1