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i have the following conditional distribution

fXY(x,y)=2, of 0<x<1 and x<y<1

When i calculate the marginal distribution of y i dont know what interval of integration to choose.

I made the graph of x<y<1 and the points(x,y) for x<y are above x=y on that graph but i dont know how to write that interval.

fX is http://www.wolframalpha.com/input/?i=integral+from+x+to+1+from+2dy

In class we had somthing similar but with 0<y<sqrt(x) and we took y from 1-sqrt(x) to 1 but i didnt understand why and x was 0<x<1.

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# Marginal distribution question.

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