13-32 Inferential Statistics and Distributions
8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM
Page 32 of 36
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 Üpdf( to the Y= editor.
The probability density function (pdf) is:
fx nd
nd
n
dxnxd x
nnnd
() [( ) ]
()() ()
()
=+
+≥
−−+
Γ
ΓΓ
/
// /,
///
2
22 10
221 2
where n = numerator degrees of freedom
d = denominator degrees of freedom
Üpdf(x,numerator df,denominator df)
Note: For this example,
Xmin = 0
Xmax = 5
Ymin = 0
Ymax = 1
Ücdf( computes the Û distribution probability between
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,upperbound,numerator df,
denominator df)
Üpdf(
Ücdf(