Hello.
I am trying to work on a problem above.
What I know so far is that
$$\begin{align} nF_{Y_2}(y)&=n\left([1-F(x)]^n+nF(x)[1-F(x)]^{n-1}\right)\\ &= n[1-F(x)]^{n-1}[1+(n-1)F(x)] \\ \end{align}$$
but I am stuck here.
Can someone help me out?
What also confuses me is that the input of $F$ should be a number, but for some reason a random variable $Y_2$ is plugged in and I am not sure if what I am doing is right...