EXAM P QUESTIONS OF THE WEEK
S. Broverman, 2005
Question 8 - Week of September 12
According to the definition of the beta distribution
on the interval (0,1) with integer
\
parameters
and
, the pdf is
.
+ "
, "
0ÐBÑ œ
B
Ð" BÑ
Ð+,"Ñx
Ð+"ÑxÐ,"Ñx
+"
,"
Which of the following statements are true?
I.
If
then
.
+ œ ,
IÐ\Ñ œ
"
#
II.
If
then
.
+ œ ,
Z +<Ð\Ñ œ
"
)+"
III.
As
increases,
increases.
5
IÐ\ Ñ
5
The solution can be found below.

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