Please evaluate the solution of the following question
Question- Let X1,...Xn be a random sample from a population having Uniform (0, 1) distribution. Let X(1)=min(X1,...,Xn) and X(n)=max(X1,...,Xn).
Part 1- Find the respective probability density functions of X(1) and X(n) and identify their distributions.
I need experts assist to compute the respective probability density functions.