1. Let r = (11, . .., x,)' be a random sample from a normal population X ~ N(; 0?). (a) Assuming o' is known, find the Jeffreys prior g() for / E 2, = [0, 10], and hence find the posterior distribution g( x). (b) Assuming / is known, find the Jeffreys prior g(0?) for o' E ? = (0, too), and hence find the posterior distribution g(o' |x)