Hi. I really need help with these statistics problem!!

Let be a random sample from a uniform distribution over .

a) Find the joint density and use the Factorization theorem to show is sufficient for .

b) Find the distribution function of and hence show the p.d.f. of is , .

Thanks for your time :)

c) Find the conditional density ) and show this does not depend on .

d) Show and hence find a function of the sufficient statistic that is an unbiased estimator of .