In article <[EMAIL PROTECTED]>,
Charles Metz <[EMAIL PROTECTED]> wrote:
>Guidi Chan wrote:
> > A fair die is rolled 2 times. X1 and X2 is the # of
> > points showing on 1st and 2nd rolls.
> > U = X1 + X2; V = X1 - X2.
> > Show that U and V are NOT independent.
--snip--
> > I'm basically stuck at trying to show that there not
> > independent.
>Try thinking about the mathematical definition of "independence" and
>about the joint distribution of U and V.
I suggest that, instead, you think about the intuitive
meaning of independence, and how it is used. Objects
are independent if information about some of them provides
no information about probabilities of events from the
others. It is easy to construct such situations, and
even to see the dependence without computing.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
[EMAIL PROTECTED] Phone: (765)494-6054 FAX: (765)494-0558
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