2pts) Find CDF of Yi.\ (b) (2pts) Find the pdf of Ymax.\ (c) (2pts) Find the pdf of Ymin.\ (d) (4pts) Find the maximum likelihood estimator for \\\\theta .\ (e) (3pts) Find the moment estimator for \\\\theta .\ 2. (12pts) Suppose a random sample Y1, Y2, . . . , Yn of size n is drawn from a distribution with the following\ pdf\ f (y) = 2y\ 1 \\\\theta 2 , \\\\theta <= y <= 1, \\\\theta > 0\ (a) (2pts) Find the CDF.\ (b) (2pts) Find the pdf of Ymax.\ (c) (2pts) Find the pdf of Ymin.\ (d) (4pts) Find MLE for \\\\theta .\ (e) (2pts) Find E (Y ) and give the equation for finding the moment estimator of \\\\theta .\