THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let X 1 ,X 2 ,X 3 ,and X 4 be a random sample of observations from a population with mean μ and variance σ 2 .Consider the following two point estimators of μ: 1 = 0.10 X 1 + 0.40 X 2 + 0.40 X 3 + 0.10 X 4 and 2 = 0.20 X 1 + 0.30 X 2 + 0.30 X 3 + 0.20 X 4 -Which of the following statements is true? A) ₁ is biased,but ₂ is an unbiased estimator of μ. B) ₁ is unbiased,but ₂ is a biased estimator of μ. C)Both ₁ and ₂ are unbiased estimators of μ. D)Both ₁ and ₂ are biased estimators of μ.

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The Answer of THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let X 1 ,X 2 ,X 3 ,and X 4 be a random sample of observations from a population with mean μ and variance σ 2 .Consider the following two point estimators of μ: 1 = 0.10 X 1 + 0.40 X 2 + 0.40 X 3 + 0.10 X 4 and 2 = 0.20 X 1 + 0.30 X 2 + 0.30 X 3 + 0.20 X 4 -Which of the following statements is true? A) ₁ is biased,but ₂ is an unbiased estimator of μ. B) ₁ is unbiased,but ₂ is a biased estimator of μ. C)Both ₁ and ₂ are unbiased estimators of μ. D)Both ₁ and ₂ are biased estimators of μ.