PLEASE HELP

Ruby279

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Sep 3, 2019
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Suppose X and Y have joint pdf
f(x,y) : 8xy ; 0<=x<=y<=1 ; zero otherwise

What is the joint CDF and marginal CDF from given joint pdf?
 
The joint CDF is the integral of the PDF, x from 0 to X, y from 0 to Y, with the condition that \(\displaystyle 0\le x\le y\le 1\).

There are two marginal CDFs, one in x and the other in y. To get the marginal CDF in x integrate with respect to y only (from x to 1), to get the marginal CDF in y integrate with respect to x only (from 0 to y).
 
The joint CDF is the integral of the PDF, x from 0 to X, y from 0 to Y, with the condition that \(\displaystyle 0\le x\le y\le 1\).

There are two marginal CDFs, one in x and the other in y. To get the marginal CDF in x integrate with respect to y only (from x to 1), to get the marginal CDF in y integrate with respect to x only (from 0 to y).

If I might ask, what’s the answer for both? I tried to solve it but I doubt the answer that I got
 
If I might ask, what’s the answer for both? I tried to solve it but I doubt the answer that I got
Please share your work/"tries" - even if you know that those were wrong.
 
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