Can any one help me solve this ? I don't know how to start.

http://www.mathhelpforum.com/math-he...-f-capture.png

Attachment 18397

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- Aug 1st 2010, 07:35 AMHitman6267Joint P.D.F
Can any one help me solve this ? I don't know how to start.

http://www.mathhelpforum.com/math-he...-f-capture.png

Attachment 18397 - Aug 1st 2010, 08:22 AMCaptainBlack
Sketch the region over which the joint density is defined, identify the subregion corresponding to $\displaystyle x\ge y$ then integrate the joint pdf over that region.

(note that should be:

$\displaystyle f(x,y) = \begin{cases} 12xy&,0\le x \le 1, x^2\le y\le \sqrt{x}\\0&, \text{otherwise}

\end{cases}$

as it is a joint density)

CB