Texas Instruments TI-83 Manual Book page 270

Üpdf(
Ücdf(
13-32 Inferential Statistics and Distributions
Üpdf( computes the probability density function (pdf) for
the Û distribution at a specified x value. numerator df
(degrees of freedom) and denominator df must be integers
> 0. To plot the Û distribution, paste
The probability density function (pdf) is:
[( n d ) ]
f x ( )
( n / 2 ) ( d
where
Üpdf( x numerator df
,
computes the Û distribution probability between
Ücdf(
lowerbound and upperbound for the specified numerator
df (degrees of freedom) and denominator df. numerator
df and denominator df must be integers >0.
Ücdf(
lowerbound
denominator df
n / 2
/ 2 n
n / 2 1
x
/ 2 ) d
n = numerator degrees of freedom
d = denominator degrees of freedom
denominator df
,
Note: For this example,
Xmin = 0
Xmax = 5
Ymin = 0
Ymax = 1
upperbound numerator df
, ,
)
Üpdf( to the editor.
Y=
( n d ) / 2
( 1 nx d / )
)
,
, x 0