Difference between revisions of "Manuals/calci/UNIFORM"

Revision as of 23:02, 10 February 2014

UNIFORMDISTRIBUTED(x,ll,ul)

This function gives the probability of the uniform distribution.
Uniform distribution is a symmetric probability distribution.
It is also called rectangular distribution.
In $UNIFORMDISTRIBUTED(x,ll,ul)$ , $x$ is the numeric value to find the probability of the distribution, $ll$ is the lower limit value and $ul$ is the upper limit value.
The probability density function of the uniform distribution in the interval [a,b] are :

$P(x)={\begin{cases}0for&x<a\\1/b-afor&a<x<b\\0for&x>b.\end{cases}}$

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

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 ==Description==
-*This function gives the probability of the unifom distribution.
+*This function gives the probability of the uniform distribution.
 *Uniform distribution is a symmetric probability distribution.
 *It is also called rectangular distribution.
 *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 :
+<math>P(x)=
+\begin{cases}
+for &x<a \\
+/b-a for &a<x<b \\
+     for &x>b.
+\end{cases}</math>
 ==Examples==