Quote:
Originally Posted by 007NewHere
From #25 of SE4.........I have a question about Uniform...
If given X & Y are uniformly distributed on a region, what about X or Y separately...can we assume that they are both uniform or not???
For #25, I computed it by using f(x,y)=f(x)*f(y)=1/16.......the result is 0.56.
So I don't know if I did computation wrong or I used wrong f(x,y) at the beginning???

If the region is a square or rectangle (and the edges are parallel to the x and y axes), yes, x and y are each uniform. Otherwise, x and y are not uniform. (In special cases one of them might be uniform, but often neither would be uniform, and I don't think it would be possible for both to be uniform.)