ANSWER PLEASE

Arthur has a weighted red die and wants to estimate the probability, p, of rolling an odd number. Every day he makes an experiment. At the end of each experiment, he records the maximum likelihood estimator of the probability p of observing an odd number. Let X; be a random variable, taking value 1 if the i -th die roll of an experiment resulted in an odd number and 0 if it resulted in an even number. Clearly, X; ~ Bernoulli(p) . Recall the MLE of a Bernoulli is PMLE = The following are the outcomes of 5 experiments, one of which involved 9 die rolls, two of which involved 6 die rolls and two of which involved 3 die rolls. Which experiments lead to the same MLE of p ? Select all that apply. O (x1 = 0, 12 = 0, 13 = 1) O (x1 = 1, 12 = 1, 23 = 0, X4 = 0, x5 = 0, 16 = 1) O (x1 = 0, X2 = 0, X3 = 0, X4 = 1, X5 = 0, 16 = 0, x7 = 0, X8 = 1, x9 = 0) O (x1 = 0, 12 = 1, 23 = 0) O (x1 = 0, 12 = 1, 13 = 0, X4 = 0, x5 = 0, 16 = 1)