>> >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.
>Herman Rubin wrote:
>> 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.
On Fri, 28 Jan 2000 13:26:56 -0500, Charles Metz <[EMAIL PROTECTED]>
wrote:
>With all due respect, Herman (and I mean that sincerely, because I
>admire your regular contributions here), I would suggest that this may
>be one situation where intuition isn't the best approach for most
>neophytes, who tend to confuse independence and an absence of
>correlation at the purely intuitive level.
Perhaps intuitive is not quite the right word, but the simple meaning
is what is required here, e.g. if U=12, what could V be? and if U=7?
without working out non-zero probabilities
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