## Boole’s Inequality

Boole’s Inequality The Boole’s Inequality Theorem states that "the probability of several events occuring is less than or equal to the sum of the probabilities …

## Weibull Distribution Examples | Calculator | Two Parameter

Weibull Distribution Calculator Use this calculator to find the probability density and cumulative probabilities for two parameter Weibull distribution with parameter $\alpha$ and $\beta$. Weibull …

## Bonferroni Inequality

Bonferroni’s Inequality For $n$ events $A_1,A_2,\cdots, A_n$ $$$$\label{bof} P\big(\cap_{i=1}^n A_i\big)\geq \sum_{i=1}^n P(A_i) -(n-1).$$$$ Proof For $n =2$,  \begin{equation*} P(A_1\cup A_2)= P(A_1)+P(A_2) …