Bivariate continuous rv pr dsn

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$Old$ November 1st, 2009, 09:35 PM

Robb $Robb is offline$

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$Default$ Bivariate continuous rv pr dsn

Confused how to integrate this, the answer in the book is .1065 but I'm not getting it..

Joint density of $Y_{1}$ and $Y_{1}$ is given by;
$f(y_{1},y_{2}=3y_{1}, 0\leq y_{2} \leq y_{1} \leq 1$

And i want to find
$F(\frac{1}{2},\frac{1}{3})=P(Y_{1}\leq \frac{1}{2}, Y_{2}\leq \frac{1}{3})$
So I need to take the double integral right, just not sure what regions I should be using, and which one to integrate first

Thanks!

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