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Suppose that X is a discrete random variable with probability function P (X = 0 | ) = 2 3 , P (X = 1
Suppose that X is a discrete random variable with probability function P (X = 0 | ) = 2 3 , P (X = 1 | ) = 1 3 , P (X = 2 | ) = 2 3 (1 ), P (X = 3 | ) = 1 3 (1 ), where 0 1 is an unknown parameter. The following 10 independent observations were taken from such a distribution: (3, 0, 2, 1, 3, 2, 1, 0, 2, 1). (Equivalently, these are the values of a sample of ten i.i.d. random variables X1, . . . , X10, each with the above probability function.)
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