Question: can anyone help solve this question 4. A large shipment of parts is received, out of which 5 are tested for defects. The number of
can anyone help solve this question

4. A large shipment of parts is received, out of which 5 are tested for defects. The number of defective parts X, is assumed to have a Bin(5, 0) distribution. From past shipments, it is known that O has a Be(1,9) prior distribution. (i) Find the 95% HPDCR for 0, if x = 0 is observed. (Hint: sketch the posterior curve) [2] (ii) It is desired to test H. : 0 <.1 vs h :> 0.1. Find the posterior probabilities of the two hypotheses and the Bayes decision if x =0 is observed. [3]
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