Suppose that X is a discrete random variable with P(X = 0) = P(X = 1) 3 P(X = 2) (1 – 0) - 3 1 (1 – 0), P(X = 3) 3 where 0 <0 < 1 is the parameter of interest. The following 10 independent observations were taken from such a distribution: (3,0, 2, 1, 3, 2, 1, 0, 2, 1). Find the method of moments estimator and estimate of 0. Find an approximate standard error for your estimate. Find the maximum likelihood estimate of 0.

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