Consider again the situation described in Exercise 22. This time, assume that there is a loss function of the form (9.8.6). Also, assume that the prior probability of θ = 0 is ξ0 and the prior probability of θ = 10 is ξ1.
a. Find the formula for the Bayes test for general loss function of the form (9.8.6).
b. Prove that the test in part (a) of Exercise 22 is not a special case of the Bayes test found in part (a) of the present exercise.
c. Prove that the test in part (b) of Exercise 22 is (up to rounding error) a special case of the Bayes test found in part (a) of the present exercise.