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 :

How to use Bernoulli Process Calculator?

Step 1 - Enter the Probability of Success

Step 2 - Enter the Number of Success

Step 3 - Enter the values

Step 4 - Click on “Calculate” button to calculate Bernoulli Probability

Step 5 - Calculate output as Mean of Bernoulli Distribution

Step 6 - Calculate Bernoulli Probability

Step 7 - Calculate Variance of Bernoulli Distribution

Step 8 - Calculate Standard Deviation of Bernoulli Distribution

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,

Conclusion

I hope you find above calculator on Bernoulli Process calculator helpful.

Read more about other Statistics Calculator on below links

Related Resources

Theory
Examples
Formula