Did I do this joint density problem correctly?

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SUMMARY

The forum discussion centers on solving a joint density problem involving the function f(x,y) = 2(x+y) for 0 ≤ x ≤ 1 and 0 ≤ y ≤ x. The user calculates Fxy(0.25, 0.25) as 0.016, Fx(0.25) as 0.016, and Fy(0.25) as 0.3125. The numerical answers provided are approximately correct, with the user suggesting the use of exact fractional values for clarity.

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Homework Statement



1. Calculate Fxy(.25,.25)
2. Calculate Fx(.25)
3. Calculate Fy(.25)


Homework Equations



f(xy) = 2 (x+y) if 0\leq x \leq 1 and 0 \leq y \leq x



The Attempt at a Solution



1. without showing all of the steps of my integration (because I apparently can't work this editor too well), I get:

(2/3) * x^3 + (1/3) * x^3 0|.25

= .016



2. (2/3) * x^3 + (1/3) * x^3 0|.25

= .016



3. y + y^2 0|.25
= .3125


Did you guys come up with the same numerical answers as I did for this?
 
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.016 is approximately 1/64 so your answers are almost correct.

But why not give exact fractional values?
 

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