# Difference between revisions of "Manuals/calci/BERNOULLIDISTRIBUTED"

Jump to navigation
Jump to search

Line 33: | Line 33: | ||

==References== | ==References== | ||

[http://mathworld.wolfram.com/BernoulliDistribution.html Bernoulli Distribution] | [http://mathworld.wolfram.com/BernoulliDistribution.html Bernoulli Distribution] | ||

+ | |||

+ | |||

+ | |||

+ | *[[Z_API_Functions | List of Main Z Functions]] | ||

+ | |||

+ | *[[ Z3 | Z3 home ]] |

## Revision as of 02:23, 13 March 2017

**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

## See Also

## References