Difference between revisions of "Manuals/calci/UNIFORM"
Jump to navigation
Jump to search
| (43 intermediate revisions by 2 users not shown) | |||
| Line 5: | Line 5: | ||
==Description== | ==Description== | ||
| − | *This function gives the probability of the uniform distribution. | + | *This function gives the probability of the uniform distribution. |
| − | *Uniform distribution is a symmetric probability distribution. | + | *Uniform distribution is a symmetric probability distribution. |
| − | *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 | + | *The Probability Density Function of the uniform distribution for the interval[a,b] is given by: |
| − | + | P(x)=<math>\begin{cases} 0, &for & x < a \\ | |
| − | \begin{cases} | + | 1/(b-a), &for & a < x < b \\ |
| − | 0 &for &x<a \\ | + | 0, &for & x > b |
| − | 1/b-a & for &a<x<b \\ | + | \end{cases}</math> |
| − | 0 &for &x>b | ||
| − | \end{cases}</math> | ||
==Examples== | ==Examples== | ||
#UNIFORMDISTRIBUTED(4,2,3) = 4030484680552036 2.6280935418326408 2.2810050058178604 2.97846262995153679 | #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 | #UNIFORMDISTRIBUTED(5,3,6) = 5.522187389200553 3.566177821950987 5.04674904467538 5.301322509767488 4.9094569575972855 | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|cyIEhL92wiw|280|center|Uniform Distribution}} | ||
==See Also== | ==See Also== | ||
| Line 28: | Line 30: | ||
==References== | ==References== | ||
| + | *[http://en.wikipedia.org/wiki/Uniform_distribution_%28continuous%29 Uniform Distribution] | ||
Latest revision as of 13:07, 2 July 2015
UNIFORMDISTRIBUTED(x,ll,ul)
- is the value of the function.
- is the lower limit.
- is the upper limit of the function.
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:
,P(x)=
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