G Let X1,··· ,Xn be iid from the Beta distribution Beta(α = 2,β = 2), which has pdf f (x) = 6 · x · (1 − x) for x ∈ [0, 1] and f (x) = 0 outside [0, 1]. Let F(x) be the cdf of Beta(α = 2,β = 2), and let. Fn(x) be the empirical cdf (EDF) based on the sample X1,··· ,Xn. (a) Find (by intergating the density) the cdf F (x). (b) Plot the curve F (x) using R over the range [0, 1]. (c) For a given x = 0.4, and n = 100, what is the mean (expectation) of the