Please provide the details. Do not use the online calculator for this proving question. Show work by hand.

(8) Let Yl, Y2, ..., Yn be a random sample from pdf given by 2y e-y2/0 fx(y) , yzo 0 , O.W. (a) (6) Find the maximum likelihood estimator of 0. (b) (2) What is a sufficient statistic for 0.(7) Let Y1, Y2, ..., Yn denote a random sample from the probability density function fy(y) = 090-1 , 0 0. Show that Y is a consistent estimator of 0+ 1 . Please provide the details. Do not use the online calculator for this proving