If $X_1$ and $X_2$ are independent random variables each of which has density function of the form:
$$f(x)= \Bigg\{ \begin{array}{cc} 2x;&0 Let $Y = \max\{X_1, X_2\}$; show the density function of $Y$ is $4y^3$.
If $X_1$ and $X_2$ are independent random variables each of which has density function of the form:
$$f(x)= \Bigg\{ \begin{array}{cc} 2x;&0 Let $Y = \max\{X_1, X_2\}$; show the density function of $Y$ is $4y^3$.