Manuals/calci/UNIFORM

UNIFORMDISTRIBUTED(x,ll,ul)

• 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 x } is the value of the function.
• 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 ll } is the lower limit.
• 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 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 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 UNIFORMDISTRIBUTED(x,ll,ul)} ,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 x } is the numeric value to find the probability of the distribution, 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 ll } 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 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 P(x)= \begin{cases} 0 &for &x<a \\ 1/b-a & for &a<x<b \\ 0 &for &x>b \end{cases}}

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, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ 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

• FDIST
• TDIST
• NORMSDIST
• NORMDIST

References

• FDIST