# Probability density function

• May 7th 2011, 07:51 PM
qwerty1234
Probability density function
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Abit stuck, any help appreciated, thanks.. And what are the limits when integrating?
• May 7th 2011, 08:51 PM
pickslides
It should be clear that $\displaystyle X=\sqrt[3]{2Y-1}$

For the limits of integration, x = -1,1, then substitute these values into $\displaystyle Y= \frac{1}{2}(X^3+1)$
• May 7th 2011, 09:52 PM
matheagle
don't forget the chain rule

$f_Y(y)=f_X(x)\left|{dx\over dy}\right|$
• May 9th 2011, 08:51 AM
qwerty1234
thanks!