Take theU[0,] density f (x j ) 1/ for 0 x . (a) Find

Take theU[0,µ] density f (x j µ) Æ 1/µ for 0 · x · µ.

(a) Find the conjugate prior ¼(µ). (This may be tricky.)

(b) Find the posterior ¼(µ j X) given a random sample.

(c) Find the posterior mean bµBayes.