Manuals/calci/BERNOULLIDISTRIBUTED
BERNOULLIDISTRIBUTED (Numbers,Probability)
- 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 Numbers } is 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 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 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(Numbers,Probability)} ,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 Numbers} 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 Probability} 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 Probability} 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 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 non numeric. 2. The value of p<0 or p>1.
Examples
- BERNOULLIDISTRIBUTED(5,0.5) = 0 0 0 0 1
- BERNOULLIDISTRIBUTED(9,0.8) = 0 1 1 1 1 1 1 1 1
- BERNOULLIDISTRIBUTED(4,0.87) = 1 1 1 0
Related Videos
See Also
References