dependent observations X₁, X2 and X3 come from normal stributions that have the same mean, μ, but whose variances are 3,2 d 4 respectively, so that X₁~ N(μ, 3), X₂~ N(1,2), X₂~ N(μ, 4). ne possible estimator of μ is P₁ = (2X₁ +5X₂+4Xg). Show that is an unbiased estimator of μ. What is the variance of f₁? Carefully explain your workings and reasonings. The estimator A₂ = (X₁ + X₂ + X₂) is also an unbiased estimator of μ. Given that the variance of ₂ is 1, which of the estimators and 2, is the better estimator of μ? Justify your answer.

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