Question: Let X ~ N([µX,Ï2X). A random sample of three observations was obtained from this population. Consider the following estimators of µX: a. Is 1 an

Let X ~ N([µX,σ2X). A random sample of three observations was obtained from this population. Consider the following estimators of µX:
Let X ~ N([µX,σ2X). A random sample of three observations

a. Is 1 an unbiased estimator of µX? What about µ2?
b. If both estimators are unbiased, which one would you choose?

X1 , X2 , X3

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