Let X₁,X₂,X₃,and X₄ be a random sample of observations from a population with mean μ and variance σ².Consider the following estimator of μ: ₁ = 0.15 X₁ + 0.35 X₂ + 0.20 X₃ + 0.30 X₄.What is the variance of
₁?

Question

Let X₁,X₂,X₃,and X₄ be a random sample of observations from a population with mean μ and variance σ².Consider the following estimator of μ:

Let X<sub>1</sub>,X<sub>2</sub>,X<sub>3</sub>,and X<sub>4</sub> be a random sample of observations from a population with mean μ and variance σ<sup>2</sup>.Consider the following estimator of μ: <sub>1</sub> = 0.15 X<sub>1</sub> + 0.35 X<sub>2</sub> + 0.20 X<sub>3</sub> + 0.30 X<sub>4</sub>.What is the variance of <sub>1</sub>? A) 0) 20 σ<sup>2</sup> B) 0) 275 σ<sup>2</sup> C) 0) 55 σ<sup>2</sup> D) 0) 125 σ<sup>2</sup>

₁ = 0.15 X₁ + 0.35 X₂ + 0.20 X₃ + 0.30 X₄.What is the variance of

₁?

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The Answer of Let X₁,X₂,X₃,and X₄ be a random sample of observations from a population with mean μ and variance σ².Consider the following estimator of μ: ₁ = 0.15 X₁ + 0.35 X₂ + 0.20 X₃ + 0.30 X₄.What is the variance of ₁? A)0)20 σ² B)0)275 σ² C)0)55 σ² D)0)125 σ²

Let X1,X2,X3,and X4 Be a Random Sample of Observations from a Population

Let X₁,X₂,X₃,and X₄ Be a Random Sample of Observations from a Population