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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.

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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

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  • 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