Probability And Statistics : Joint and Marginal PDF

Random134

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The question is from Probability and Statistics:
Q. A point is selected at random inside the triangle {(x,v) : 0<=y<=x<=1}. Assume the point is equally likely to fall anywhere in the triangle. Find the joint and marginal pdf of X and Y.
I tried solving this but was not able to come up to the answer. Please someone help me come to the right answer. Thanks! Have a nice day!
 
Can you find an integral that evaluates to unity? You'll need to know the height of the PDF throughout the surface.

You can use just Geometry if desired.
 
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