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:  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

See Also

References

Bernoulli Distribution