Difference between revisions of "Manuals/calci/UNIFORM"
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Line 13: | Line 13: | ||
<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, & | + | n/2, & if n is even} \\ |
− | 3n+1, & | + | 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
- 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