Difference between revisions of "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

1. BERNOULLIDISTRIBUTED(5,0.5) = 0 0 0 0 1
2. BERNOULLIDISTRIBUTED(9,0.8) = 0 1 1 1 1 1 1 1 1
3. BERNOULLIDISTRIBUTED(4,0.87) = 1 1 1 0