# Manuals/calci/BERNOULLIDISTRIBUTED

**BERNOULLIDISTRIBUTED (Numbers,Probability)**

- is the number of variables.
- is the value range from 0 to 1.

## Description

- This function gives the value of the Bernoulli distribution.
- It is a discrete probability distribution.
- Bernoulli distribution is the theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success.
- The Bernoulli distribution is simply BINOM(1,P).
- This distribution best describes all situations where a trial is made resulting in either success or failure, such as when tossing a coin, or when modeling the success or failure.
- In , represents the number of variables.
- is the probability value.
- The vaule is ranges from 0 to 1.
- The Bernoulli distribution is defined by: for x={0,1}, where p is the probability that a particular event will occur.
- The probability mass function is :

- This function will give the result as error when

1. Any one of the argument is non numeric. 2. The value of p<0 or p>1.

## Examples

- BERNOULLIDISTRIBUTED(5,0.5) = 0 0 0 0 1
- BERNOULLIDISTRIBUTED(9,0.8) = 0 1 1 1 1 1 1 1 1
- BERNOULLIDISTRIBUTED(4,0.87) = 1 1 1 0

## Related Videos

## See Also

## References