Manuals/calci/BERNOULLIDISTRIBUTED

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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: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.