Manuals/calci/BERNOULLI

BERNOULLIDISTRIBUTED(k,p)

• $k$ represents the number of variables.
• $p$ p is the probability value.

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.
• $BERNOULLIDISTRIBUTED(k,p)$ ,$k$ represents the number of variables.
• $p$ is the probability value. The $p$ 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 :$f(k,p)={\begin{cases}p&if&k=1\\1-p&if&k=0.\end{cases}}$
• 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. 

Examples

1. =BERNOULLIDISTRIBUTED(5,0.5)=1 1 0 0 1, 0 0 0 0 0
2. =BERNOULLIDISTRIBUTED(3,0.2)= 0 0 0