Hello,
I've kinda hit a road block trying to figure out this question, it's a
pretty basic question but it's been a while since I've taken a stats
course so perhaps I could get some hints:
Question:
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.
> This is what I have done so far: I've solved for the mean and
variance of both U and V. I've found the covariance of U and V...which
is cov(U,V) = var (X1) - var (X2).
I'm basically stuck at trying to show that there not independent.
Any advice? Thanks in advance!
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