Difference between revisions of "Manuals/calci/PROB"
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*Probability is the likelihood that an event will occur. | *Probability is the likelihood that an event will occur. | ||
*Probabilities can be used to describe frequencies of outcomes in random experiments. | *Probabilities can be used to describe frequencies of outcomes in random experiments. | ||
| − | *In <math>PROB(xr,pr,ll,ul), xr</math> is the array of numeric values which there are associated probabilities,<math>pr</math> is a set of probabilities associated with <math> xr,ll </math> is the lower limit of the probability and <math>ul</math> is the upper limit of the probability. | + | *In <math>PROB(xr,pr,ll,ul)</math>, <math>xr</math> is the array of numeric values which there are associated probabilities,<math>pr</math> is a set of probabilities associated with <math> xr</math>, <math>ll</math> is the lower limit of the probability and <math>ul</math> is the upper limit of the probability. |
| − | *Here <math>ul</math> is optional.When we are omitting the value of ul, then the function simply returns the probability associated with the value of the given ll. | + | *Here <math>ul</math> is optional.When we are omitting the value of <math>ul</math>, then the function simply returns the probability associated with the value of the given <math>ll</math>. |
*This function will return the result as error when | *This function will return the result as error when | ||
| − | 1.Any one of the value is | + | 1.Any one of the value is non-numeric. |
| − | 2.Any value of <math> pr \le 0 </math> or pr >1 | + | 2.Any value of <math> pr \le 0 </math> or <math>pr >1</math> |
| − | 3. | + | 3.The values in the given <math>pr</math> do not adding up to 1 |
| − | 4.xr and pr is of different number of data points. | + | 4.<math>xr</math> and <math>pr</math> is of different number of data points. |
==Examples== | ==Examples== | ||
Revision as of 04:41, 7 January 2014
PROB(xr,pr,ll,ul)
- 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 xr} is the array of x range is the value of the function.
- 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 pr} is the set of probabilities.
- 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 ll} is the lower limit and 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 ul} is the upper limit value.
Description
- This function gives the probability that values in a range of given limits.
- Probability is the likelihood that an event will occur.
- Probabilities can be used to describe frequencies of outcomes in random experiments.
- 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 PROB(xr,pr,ll,ul)} , 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 xr} is the array of numeric values which there are associated probabilities,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 pr} is a set of probabilities associated with 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 xr} , 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 ll} is the lower limit of the probability and 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 ul} is the upper limit of the probability.
- Here 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 ul} is optional.When we are omitting the value of 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 ul} , then the function simply returns the probability associated with the value of the given 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 ll} .
- This function will return the result as error when
1.Any one of the value is non-numeric.
2.Any value of 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 pr \le 0 }
or 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 pr >1}
3.The values in the given 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 pr}
do not adding up to 1
4.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 xr}
and 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 pr}
is of different number of data points.
Examples
x pr 0 0.3 1 0.5 2 0.2 PROB(A2:A4,B2:B4,1)=0.5 PROB(A2:A4,B2:B4,1,3)=0.7 x pr 1 0.2 2 0.2 3 0.1 4 0.5 PROB(C1:C4,D1:D4,2)=0.2 PROB(C1:C4,D1:D4,2,4)=0.8 x pr 0 0.3 1 0.7 2 0.1 PROB(A1:A3,B1:B3,2)=NAN