Please see the attachment for probability questions.
Find the means and variances of these estimators.
Hence answer the following questions, giving reasons for your answers.
a) Which of these estimators are unbiased
b) Which of the unbiased estimators is the most efficient as an estimator for μ?
c) Which of these estimators are consistent?
Please check attachment for a detailed step-by-step guide.
The solution gives detailed steps on finding the mean and variance of three estimates and deciding their unbiased property and consistency.