Identical probability denisty function help needed

#1
Hello everybody :)

Iam struggling with this question, i find this topic hard to understand
here is the question

Let X and Y be two independent random variables with identical
probability density function given by
f(x)= (3*(x^2))/θ if 0<x<θ
for some θ>0. What is the probability density function of W = min{X, Y }?

Please provide me with answered steps and explanation, so i can understand this topic

I will really appreciate your help
Thanks in advance :)
 

Dason

Ambassador to the humans
#2
For these kinds of things it's typically easier to try to answer it by using the CDF instead of the pdf. Although a direct approach integrating the joint density isn't out of the question when you only have two random variables...