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

hollysti

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May 12, 2007
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22
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

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Feb 4, 2004
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15,943
hollysti said:
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! :D

Eliz.
 

royhaas

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Joined
Dec 14, 2005
Messages
832
Start by drawing a picture of the density. That should give you a clue.
 
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