Suppose that your prior for the proportion of defective items supplied by a manufacturer is given
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Suppose that your prior for the proportion π of defective items supplied by a manufacturer is given by the beta distribution Be(2, 12), and that you then observe that none of a random sample of size 6 is defective. Find the posterior distribution and use it to carry out a test of the hypothesis H0 : π
(a) a 'O - 1' loss function, and
(b) the loss function
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