1. Suppose that X is a discrete random variable with the following probability mass func- tion: X 1 2 3 p(X) 20/3 0/3 2(1 – 0)/3 | (1 – 0)/3 where 0 < 0 < 1 is a parameter. The following 12 independent observations were taken from such a distribution: (3,0, 2, 1,0, 3,0, 2, 1,0, 2, 1). Use the method of maximum likelihood to find the estimate of 0.

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