Question: 5. Let X1, . . . , Xn be a random sample from the Bernoulli distribution with success probability 6'. Suppose that it is known

5. Let X1, . . . , Xn be a random sample from the Bernoulli distribution with success probability 6'. Suppose that it is known that U 5 9 5 1f2. (a) Find the method of moments estimator and MLE of 9. (b) Calculate the mean-squared errors of the two estimators. (Note: for the MLE, you can express the mean-squared error in terms of summations.) (0) Which estimator do you prefer? Please explain

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