Judge if exist a minimum variance unbiased estimator MVUE fo

Judge if exist a minimum variance unbiased estimator (MVUE) for the parameters of the following cases: Be X_1,..., X_n a random sample of the bernoulli distribuition with the parameter p unknown. Be X_1,..., X_n a random sample of the Poisson distribuition with the mean lambda unknown. Be X_1,..., X_n a random sample of the Exponential distribuition with the parameter lambda? unknown. Be X_1,..., X_n a random sample of the Normal distribuition with the mean mu? unknown and variance sigma 2 known.

Solution

Exist a minimum variance unbiased estimator (MVUN) for the bernoulli distribution with parameter p unknowu.

Therefore, the correction option A