Consider a random sample X1,X2,…,Xn with mean μ and standard deviation σ , and the estimator of μ defined as the weighte

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Consider a random sample X1,X2,…,Xn with mean μ and standarddeviation σ , and the estimator of μ defined as the weightedaverage of just the first three observations:μ^=1/7*(3X1+3X2+2X3)

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For the questions below, you will need to use Maple syntax for expressions involving and σ: for write mu and for o write sigma for write 3/2*mu and for ² write 2/5*sigma^2 Consider a random sample X₁, X₂,..., Xn with mean μ and standard deviation o and the estimator of μ defined as the weighted average of just the first three observations: û = (3X₁ +3X2+2X3) a) Is this estimator biased? Yes, it is biased. O No, it is unbiased. b) Is this estimator consistent? No, it is not consistent. Yes, it is consistent. c) Find the mean of û E(A) = d) Find the variance of Var(μ) = Po A₂ Po