Difference between revisions of "Manuals/calci/BERNOULLI"
Jump to navigation
Jump to search
| Line 22: | Line 22: | ||
#=BERNOULLIDISTRIBUTED(5,0.5)=1 1 0 0 1, 0 0 0 0 0 | #=BERNOULLIDISTRIBUTED(5,0.5)=1 1 0 0 1, 0 0 0 0 0 | ||
#=BERNOULLIDISTRIBUTED(3,0.2)= 0 0 0 | #=BERNOULLIDISTRIBUTED(3,0.2)= 0 0 0 | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|ry81_iSHt6E|280|center|Bernoulli Distribution}} | ||
==See Also== | ==See Also== | ||
Revision as of 13:16, 29 May 2015
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.
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.
Examples
- =BERNOULLIDISTRIBUTED(5,0.5)=1 1 0 0 1, 0 0 0 0 0
- =BERNOULLIDISTRIBUTED(3,0.2)= 0 0 0