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Let $(X,Y,Z)$ be a continuous random vector with joint density $ f_{(X,Y,Z)}(x,y,z) = 6e^{-x-y-z},\quad 0 < x < y < z. $

What is the marginal density of $X,Y$ and $Z$?

I have calculated $f_X(x)$ here. I have calculated $f_Y(y)$ here. I have calculated $f_Z(z)$ here.

Is this right?

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    I'm using Wolfram Alpha because I'm not familiar with writing formatted mathematical notation. The computation is easy; I'm more concerned with whether I set up the boundaries of the integrals correctly.2012-09-24

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Those are correct, I suggest you integrate on your own(pencil and paper) since you will be doing so for your tests.

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    I did, but I posted the links to Wolfram because I am unfamiliar with writing mathematical notation on this site.2012-09-24