Difference between revisions of "Manuals/calci/UNIFORM"
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*It is also called rectangular 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. | *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 | + | *The probability density function of the uniform distribution for the interval (a,b) is given by: |
− | + | <math>P(x)=\begin{cases} 0, &for &x<a \\ | |
− | + | 1/b-a, &for &a<x<b \\ | |
− | + | 0, &for &x>b | |
+ | \end{cases}</math> | ||
==equation== | ==equation== | ||
<math> | <math> |
Revision as of 00:17, 11 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 for the interval (a,b) is given by:
equation
- The Lucas numbers are defined by:
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