Prove Result 6 of Subsection 4.4.2. (You may assume that exists and that there is an action with finite posterior expected loss.) In the IQ example, where assume it is important to detect...

Prove Result 6 of Subsection 4.4.2. (You may assume that

exists and that there is an action with finite posterior expected loss.)

In the IQ example, where

assume it is important to detect particularly high or low IQs. Indeed the weighted loss

is deemed appropriate. (Note that this means that detecting an IQ of 145 (or 55) is about nine times as important as detecting an IQ of 100.) Find the Bayes estimator of
.