In Example 4 it is a fact (see Chapter 4) that, after observing x, and x, the believed distribution, *, of 8 to a Bayesian (who initially gave each 8 probability density ()>0) will be of the following form: If xx, then gives probability one to the point (x,+x2); if x, x2, then * gives probabilities and 1 to the points x-1 and x,+1, respectively, where = (x-1)/((x-1)+(x+1)). Show that, for the loss L, the inference a always has smaller Bayesian expected loss than does the inference a.