X and Y have the following joint pdf.
for , zero elsewhere.
Find the cdf of
Thanks in advance
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A diagram is essential to see why there are two cases to consider and where the integral terminals come from in each case.
Case 1: (that is, )
Case 2: (that is, )
As I've said, a diagram is essential to see where these results have come from. The calculations are left for you to do.