Difference between revisions of "Manuals/calci/UNIFORM"

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<math>P(x)=
 
<math>P(x)=
 
\begin{cases}
 
\begin{cases}
0 &for &x<a \\
+
0, &for &x<a \\
1/b-a &for &a<x<b \\
+
1/b-a, &for &a<x<b \\
0    &for &x>b
+
0,   &for &x>b
 
\end{cases}</math>
 
\end{cases}</math>
  
 
<math>f(n) =  
 
<math>f(n) =  
 
\begin{cases}  
 
\begin{cases}  
n/2,  & \mbox{if }n\mbox{ is even} \\
+
n/2,  & if n is even} \\
3n+1, & \mbox{if }n\mbox{ is odd}  
+
3n+1, & if n is odd}  
 
\end{cases}</math>
 
\end{cases}</math>
  

Revision as of 23:40, 10 February 2014

UNIFORMDISTRIBUTED(x,ll,ul)


  • is the value of the function.
  • is the lower limit.
  • 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 , is the numeric value to find the probability of the distribution, is the lower limit value and is the upper limit value.
  • The probability density function of the uniform distribution in the interval [a,b] are :

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 f(n) = \begin{cases} n/2, & if n is even} \\ 3n+1, & if n is odd} \end{cases}}

Examples

  1. UNIFORMDISTRIBUTED(4,2,3) = 4030484680552036 2.6280935418326408 2.2810050058178604 2.97846262995153679
  2. UNIFORMDISTRIBUTED(5,3,6) = 5.522187389200553 3.566177821950987 5.04674904467538 5.301322509767488 4.9094569575972855

See Also

References