Texas Instruments TI-82 STATS - Page 270

13–32 Inferential Statistics and Distributions
8250FC~1.DOC TI-83 international English Bob Fedorisko Revised: 10/26/05 1:39 PM Printed: 10/27/05 2:57
PM Page 32 of 36
Ü
ÜÜ
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
Ü
ÜÜ
Üpdf( to the Y= editor. The probability
density function (pdf) is:
fx
nd
nd
n
d
xnxd x
n
nnd
()
[( ) ]
()()
()
()
=
+






+≥
−−+
Γ
ΓΓ
/
//
/,
/
//
2
22
10
2
21 2
where n = numerator degrees of freedom
d = denominator degrees of freedom
Ü
ÜÜ
Üpdf(x,numerator df,denominator df)
Note: For this example,
X
min = 0
X
max = 5
Y
min = 0
Y
max = 1
Ü
ÜÜ
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.
Ü
ÜÜ
Ücdf(lowerbound,upperbound,numerator df,
denominator df)
Distribution Functions (continued)
Ü
ÜÜ
Üpdf(
Ü
ÜÜ
Ücdf(