Manuals/calci/BERNOULLI

BERNOULLIDISTRIBUTED(k,p)

• $k$ represents the number of variables.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle BERNOULLIDISTRIBUTED(k,p)} ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k} represents the number of variables.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p} is the probability value. The Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p} vaule is ranges from 0 to 1.
• The Bernoulli distribution is defined by:Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=p^x(1-p)^{1-x}} for x=0,1, where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p} is the probability that a particular event will occur.
• The probability mass function is :Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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.

ZOS

• The syntax is to calculate this function in ZOS is $BERNOULLIDISTRIBUTED(a,b)$.
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} represents the number of variables.
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} is the probability value.
• For e.g.,BERNOULLIDISTRIBUTED(5,0.4)
• BERNOULLIDISTRIBUTED(3..7,0.7)

Examples

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

Related Videos

Bernoulli Distribution

See Also

• KURT
• MULTINOMIAL

References

• BERNOULLI