Question: Suppose X1, ..., X Suppose Xl, ..., Xn, for n > 1, are sampled independently from a distribution with mean and variance a . Consider

Suppose X1, ..., X\

Suppose Xl, ..., Xn, for n > 1, are sampled independently from a distribution with mean and variance a . Consider the following four estimators for p. 2 1 -Ext n 2 E txt a. b. c. Calculate the bias of each of these estimators. Calculate the standard error for each estimator. Which estimator would you choose to use? (Give a reason for your choice).

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