Hi all, having real problems doing this question. Can anyone explain the steps of how its done (leaving the process of actually carrying out the steps to me! :-))

If X1,X2, . . . ,Xn are independent random variables from the Binomial distribution

Bin(k, ), show that S = Xi is sufficient for

(i) by using the Factorization Theorem;

(ii) by finding the distribution of X1,X2, . . . ,Xn conditional on S = s.