6. Consider an independent random sample of data of size n drawn from the continuous distribution of X~ (μx, o), i.e., {i} 1. Suppose for whatever reason, we do not like the first observation and we propose the following estimator of μx: ã= x₂ + x3 + +Xn n With this information, answer the following (show your work): (a) What is the expected value of a? (b) What is the bias of ? (c) What is the variance of ? (d) What is the mean square error of ? (e) What happens to the results in parts (a-d) when the sample size n tends to infinity? What can be said about this estimator in this scenario?

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