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Find the method of moments estimator

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Reference no: EM132850726

Suppose X is a discrete random variable with P(X = 1) = θ and P(X = 2) = 1 - θ, where 0 ≤ θ ≤ 1. Three independent observation of X are made: 1, 2, 2.

(a) Find the method of moments estimator of θ.

(b) Find the likelihood function.

(c) Find the MLE of θ.

Reference no: EM132850726

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