# Manuals/calci/BERNOULLI

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**BERNOULLIDISTRIBUTED(k,p)**

- represents the number of variables.
- is the probability value.

## 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.
- , 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 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 nonnumeric. 2. The value of p<0 or p>1.

## ZOS

- The syntax is to calculate this function in ZOS is .
- represents the number of variables.
- is the probability value.

- For e.g.,BERNOULLIDISTRIBUTED(5,0.4)
- BERNOULLIDISTRIBUTED(3..7,0.7)

## Examples

- =BERNOULLIDISTRIBUTED(5,0.5)=1 1 0 0 1, 0 0 0 0 0
- =BERNOULLIDISTRIBUTED(3,0.2)= 0 0 0