Question: 2. (20 points) Let X,., X be a random sample from a population with pmf P(X = x) = 0 (1 - 0) 1-2

2. (20 points) Let X,., X be a random sample from a population with pmf P(X = x) = 0 (1 - 0) 1-2 for x = 0 or 1 and 0 0 1. (a) Find the method of moments estimator and MLE of 0. (b) Find the mean squared errors of each of the estimators. (c) Which estimator is preferred? Justify your choice.

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