Probability density function

**qwerty1234** · May 7th 2011, 07:51 PM

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Abit stuck, any help appreciated, thanks.. And what are the limits when integrating?

**pickslides** · May 7th 2011, 08:51 PM

It should be clear that $\displaystyle X=\sqrt[3]{2Y-1}$

For the limits of integration, x = -1,1, then substitute these values into $\displaystyle Y= \frac{1}{2}(X^3+1)$

**matheagle** · May 7th 2011, 09:52 PM

don't forget the chain rule

$f_Y(y)=f_X(x)\left|{dx\over dy}\right|$

**qwerty1234** · May 9th 2011, 08:51 AM

thanks!

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