Difference between revisions of "Manuals/calci/BERNOULLIDISTRIBUTED"

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*The <math>Probability</math> vaule is ranges from 0 to 1.
 
*The <math>Probability</math> vaule is ranges from 0 to 1.
 
*The Bernoulli distribution is defined by:<math>f(x)=p^x(1-p)^{1-x} </math> for x={0,1}, where p is the probability that a particular event will occur.
 
*The Bernoulli distribution is defined by:<math>f(x)=p^x(1-p)^{1-x} </math> for x={0,1}, where p is the probability that a particular event will occur.
*The probability mass function is :math>f(k,p) = \begin{cases}p &if& k=1\\
+
*The probability mass function is :<math>f(k,p) = \begin{cases}p &if& k=1\\
 
                                                             1-p &if &k=0.  
 
                                                             1-p &if &k=0.  
 
                                                   \end{cases}</math>
 
                                                   \end{cases}</math>

Revision as of 14:56, 7 December 2016

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