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enter image description here are Independently and Identically Distributed.

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Z=|X-Y|.

Find the PDF of Z. The joint PDF of this function is 1 as well. Through the graph, I found that the CDF of Z is enter image description here and PDF is uniform . However, I am not able to solve it through the joint density function of x,y. What are the limits in which the joint function should be integrated to get the CDF of Z?

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