Difference between revisions of "Manuals/calci/UNIFORM"

Revision as of 00:46, 11 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

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

$f(n)={\begin{cases}n/2,&ifniseven\\3n+1,&ifnisodd\end{cases}}$

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

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

@@ Line 9: / Line 9: @@
 *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}