I would like to ask how to solve the following question? Please provide all detailed steps. Thank you.

Q2: Unbiasedness (Proof) a) Consider X ~Binominal(1, p), where p is unknown. We know that X = = En, X; n is an unbiased estimator for p. Define g(t) = nt(1 - t). Show that g(X) is NOT an unbiased estimator for g(p). b) With reference to the result in part a), find one unbiased estimator for g(p). Please justify your result