1.a All maximal likelihood are asymptotically normal

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b. Let X_1, X_n be i.i.d. Bernoulli random variables with some unknown parameter . Then which of the following is/are valid confidence interval(s) for with nonasymptotic confidence level 95%?
(Choose all that apply.)
a) Xn-1.96 sqrt(p(1-p)/n)+1.96sqrt(p(1-p)/n)
b) (0,1)
c) [0, Xn]+.83/n
d) none