Difference between revisions of "Manuals/calci/UNIFORM"
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==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 \\ | |
| − | + | 1/(b-a), &for & a < x < b \\ | |
| − | + | 0, &for & x > b | |
| − | + | \end{cases}</math> | |
| − | \begin{cases} | ||
| − | 0, &for &x<a \\ | ||
| − | 1/b-a, &for &a<x<b \\ | ||
| − | 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 31: | 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 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 ul } is the upper limit value.
- The Probability Density Function of the uniform distribution for the interval[a,b] is given by:
,P(x)=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 \begin{cases} 0, &for & x < a \\ 1/(b-a), &for & a < x < b \\ 0, &for & x > b \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