probability density f(x) = {1+x for -1< x <= 0, 1-x for....

[hollysti]

If the probability density of X is given by
f(x) = {1+x for -1< x <= 0
1-x for 0 < x < 1
0 elsewhere
and U = X and V = X[sup:3b3xu2dn]2[/sup:3b3xu2dn], show that (a) cov(U,V) = 0. (b) U and V are dependent.

I don't really get this stuff at all. Please help!!

 

[stapel]

I don't really get this stuff at all.

If the above is true, then you need much more help than we can provide. So I hope you're exaggerating. :shock:

Do you know what a "probability density function" is? Are you familiar with the "cov(a,b)" notation? Do you know what it means to be "dependent"?

Please reply with your answers to the above, along with a clear listing of your attempts and thoughts so far. Thank you!

Eliz.

 

[royhaas]

Start by drawing a picture of the density. That should give you a clue.