Let X be a binomial random variable (3(4, p) with p unknown. Let 51:1, . . . ,ch be n samples for X. (a) ' Compute the log likelihood function of X. (Note: Try to simplify as much as possible, as it might help with the next part.) (c) Let u1, u2 be the statistics given by WI (21, . . . , an) := number of samples xi's equal to 1, U2 (21 , . . . , an) := number of samples xi's equal to 2. Do u1, u2 form jointly sufficient statistics for p? Explain your answer rigorously.(b) Compute the maximum likelihood estimate p