Given N = 20 trials of tossing a coin, say we have Nhead = 12 and let 0 be the true probability of being head. 1) What's the vale of OMLE? . 2) Let 0~Beta(a, B), what's the analytical solution of MAP? r(at B) p(0 ) = (a)r(B )' (a-1(1 - 0)3-1 . 3) Given a= B = 5, what's the value of OMAP? Hint 1: Drop the constant term in p(0) when taking the derivative w.r.t. 0 Hint 2: N1 = En-lyn, No = En-1(1 - yn) = N - M1. Try to use N1, a, B to represent OMAP