hey guys, I'm just wondering if you guys can help me with this question, thank you in advance. (Bow)

A random variable, X, has a probability density function (p.d.f.) given by

f(x)=2xe^(-x^2)

where x>0

Y is a random variable such that Y = X^2.

Show that Y has an exponential distribution and state its mean.

thanks.(Happy)