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Manuals/calci/BERNOULLIDISTRIBUTED (view source)
Revision as of 19:42, 7 December 2016
, 19:42, 7 December 2016no edit summary
==bernoulli
<div style="font-size:30px">'''BERNOULLIDISTRIBUTED (Numbers,Probability)'''</div><br/>
*<math>Numbers </math> is the number of variables.
*<math>Probability</math> 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 <math>BERNOULLIDISTRIBUTED(Numbers,Probability)</math> ,<math>Numbers</math> represents the number of variables.
*<math>Probability</math> is the probability value.
*The <math>Probability</math> vaule is ranges from 0 to 1.
*The Bernoulli distribution is defined by:f(x)=p^x(1-p)^{1-x} for x=0,1, where p is the probability that a particular event will occur.
*The probability mass function is :Failed to parse(PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): f(k,p) = \begin{cases}p &if& k=1\\ 1-p &if &k=0. \end{cases}
*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.