let X and Y be uniform over the rectangular region defined by -1 X) Solution f(x)=x f(y)=y in the given range joint is obtained by the integration of f(x) and f(y) the limits are the one given so u get F(x)=0 F(y)=2 uniformly distributed will be F(z)=1/(b-a) b and a are the limits so you get F(x)=1/2 F(y)=1/2 now draw the graph of the rectange and consider the lime Y-X<0 and integrate the rectangle in the region and u get the probability if u have any doubt or need an image plz comment.

1. let X and Y be uniform over the rectangular region defined by -1 X)
Solution
f(x)=x
f(y)=y in the given range
joint is obtained by the integration of f(x) and f(y) the limits are the one given
so u get
F(x)=0
F(y)=2
uniformly distributed will be F(z)=1/(b-a)
b and a are the limits
so you get
F(x)=1/2
F(y)=1/2
now draw the graph of the rectange and consider the lime Y-X<0 and integrate the rectangle in
the region and u get the probability
if u have any doubt or need an image plz comment