Yes, I did the integrals from [0, θ], but that's the answer that I kept on getting. I don't know what I'm doing wrong.
d) is correct
e) you need to read what an order statistic is.
Order statistic - Wikipedia, the free encyclopedia
and
Order statistic - Wikipedia, the free encyclopedia
I know what an order statistic is, I just don't know how to apply it to the problem.
For part (d) would the pdf be:
g(y) = [ n!/(r-1)! * (n-r)! ] * [F(y)]^(r-1) * f(y) * [1 - F(y)]^(n-r)
and I would just plug in the F(y) and f(y) from above?