Manuals/calci/BERNOULLIDISTRIBUTED

BERNOULLIDISTRIBUTED (Numbers,Probability)

• $Numbers$ is the number of variables.
• $Probability$ 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 $BERNOULLIDISTRIBUTED(Numbers,Probability)$ ,$Numbers$ represents the number of variables.
• $Probability$ is the probability value.
• The $Probability$ 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.