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Please correct my answer (Probability)
I have to calculate the density function of the random variable $Y= 1-X^2$, given that: $f(x) = \frac{1}{9}(x+1)^2$, where $-1 < x < 2$.
So I finally understood that the domain of Y is $-3 < Y < 1$.
But it seems that i cant continue further... My method is to find the distribution of Y by using the density function of X , and finally ill find the density function of Y by taking the derivative of Y's distribution func.
Its not working at all, i am taking wrong integral, wrong spaces, everything wrong...
Could someone please explain me what is the correct way?
Thanks