Difference between revisions of "Manuals/calci/UNIFORM"
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*In <math>UNIFORMDISTRIBUTED(x,ll,ul)</math> ,<math> x </math> is the numeric value to find the probability of the distribution, <math>ll </math> is the lower limit value and <math> ul </math> is the upper limit value. | *In <math>UNIFORMDISTRIBUTED(x,ll,ul)</math> ,<math> x </math> is the numeric value to find the probability of the distribution, <math>ll </math> is the lower limit value and <math> ul </math> is the upper limit value. | ||
*The probability density function of the uniform distribution in the interval [a,b] are | *The probability density function of the uniform distribution in the interval [a,b] are | ||
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<math>P(x)= | <math>P(x)= | ||
Revision as of 00:47, 11 February 2014
UNIFORMDISTRIBUTED(x,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 x } 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 ll } is the lower limit.
- 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 function.
Description
- This function gives the probability of the uniform distribution.
- Uniform distribution is a symmetric probability distribution.
- It is also called rectangular distribution.
- 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 UNIFORMDISTRIBUTED(x,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 x } is the numeric value to find the probability of the distribution, is the lower limit value 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.
- The probability density function of the uniform distribution in the interval [a,b] are
is the lower limit value 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.
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(x)= \begin{cases} 0, &for &x<a \\ 1/b-a, &for &a<x<b \\ 0, &for &x>b \end{cases}}
Examples
- UNIFORMDISTRIBUTED(4,2,3) = 4030484680552036 2.6280935418326408 2.2810050058178604 2.97846262995153679
- UNIFORMDISTRIBUTED(5,3,6) = 5.522187389200553 3.566177821950987 5.04674904467538 5.301322509767488 4.9094569575972855