## Bernoulli Distribution Calculator

Bernoulli's distribution calculator can help you to determine the mean, variance and probability for Bernoulli's distribution with parameter probability of success $p$.

Bernoulli Distribution Calculator
Probability of success (p):
Number of success (x):
Result
Probability : P(X = x)
Mean : E(X)
Variance : V(X)
Standard Deviation :

## Definition of Bernoulli Distribution

A discrete random variable $X$ is said to have Bernoulli distribution with parameter $p$ if its probability mass function is

\begin{aligned} P(X=x)&=p^x (1-p)^{1-x},\hbox{x=0,1;}\ & \hbox{0<p<1}.\ \end{aligned}

where

• $x =$ number of successes in single trial,
• $p =$ probability of success,