Consider a parameter 0 with density 7(0)=B'0*, where B>0 and y > 2. (a) Find the prior mean of 0. (b) Given the observations Y, = y,Y, =y2,.,Y, = y,, from a uniform (0, 0] distribution, find the posterior mean of 0. (c) Show that the estimator of 0, taking the form y +n max (z, B) (B >0,7 > 2), y+n-1 where z= max(y,y2., y,), is admissible under squared error loss