Originally Posted by
hooke Continuous random variable X has probability density function defined as
f(x)= 1/4 , -1<x<3
=0 , otherwise
Continuous random variable Y is defined by Y=X^2
(1) Find P(X>2) given that X>0
Ans: (1)(1/4)=1/4
(2) Find G(y), the cummulative distribution function of Y
f(y)= 1/4 , 1<X<9
= 0, otherwise
Then integrate to get the cdf.
G(y)= 0 , Y<=1
= 1/4 y , 1<Y<9
=1 , Y>=9
(3) Hence find the probability density function of Y.
Then now differentiate the cdf in (2) to get the pdf
Part(2) doesn't seem right so do part(3).