Manuals/calci/BINOMIALPROBABILTY
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BINOMIALPROBABILTY (NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)
- 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 NumberOftrials} is any number of trials.
Description
- This function shows the value of Binomial Probability.
- 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 BINOMIALPROBABILTY (NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)} ,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 NumberOf trials} is the number of times of the trials.
- 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 NumberofSuccess} is the results of the success.
- 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 ProbabilityOfSuccess} is the value of the Probability.
- The binomial probability refers to the probability that a binomial experiment results in exactly x successes.
- Suppose a binomial experiment consists of n trials and results in x successes.
- If the probability of success on an individual trial is P, then the binomial probability 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 b(x; n, P) = _nC_x* P^x *(1 - P)^{n - x}}
Examples
- BINOMIALPROBABILTY(5,2,1/6) = 0.1607510288065844
- BINOMIALPROBABILTY(10,4,1/3)= 0.2276075801453032
- BINOMIALPROBABILTY(20,19,1/9) = 1.3160421343951921e-17
See Also
References