What are the incorrect limits on the integral in this random variables problem?

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SUMMARY

The discussion centers on correcting the limits of integration in a random variables problem involving LaTeX. The integral must be divided into two segments: (0,z) and (z,1). For the first segment, the y range is (0,1), while for the second segment, the y range is defined as (0,z/x). The critical insight is that the upper limit for y is determined by the minimum of 1 and z/x.

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vabamyyr
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Since I am noob in LaTex then ill post a document in Word.
 

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The limits on your integral are incorrect. You have to divide the x range into 2 parts (0,z) and (z,1). For the first part the y range is (0,1). For the second part the y range is (0,z/x). The point being that y has an upper limit of min(1,z/x).
 

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