Efficiency of Bernoulli Mean

EasyStatistics

Suppose that $X_1 \mid \theta,\dots, X_n \mid \theta \sim \bern{\theta}$ IID. What is the efficiency of $\hat{\theta}_{MLE}$ , the MLE estimator for $\theta$ ?

NOTE: It is recommended to complete "Bernoulli Fisher Information" before attempting this problem.

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