Let X₁, X₁, be iid from distribution F and let F, be the associated empir- ical CDF given by F₂(t) = (-[infinity], (X₁). a. Find the E(F). What does your result say about F, as an estimator for F? b. Is the empirical CDF, F₁(t), a consistent estimator of the true CDF F(t)? Justify your answer. c. Find the plug-in estimator of the Skewness given by = E(x-μ)² d. Describe how you would find the standard error of A.