A statistician has to decide on the basis of two observations whether the parameter ? of a binomial distribution is 1/4 or 1/2; his loss ( a penalty that is deducted from his fee) is $160 if he is wrong.
a) construct a table showing four possible value of the loss function
b), list the eight possible decision function
c), show that three of the decision function are not admissible
d), find the decision that is best accoring to the minimax criterion