Let X ~ N([µX,Ï2X). A random sample of three observations was obtained from this population. Consider the

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

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

Transcribed Image Text:

X1 , X2 , X3