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).