A large shipment of parts is received? out of which five are tested for defects. The number of defective parts, X, is assumed to have a  distribution. From past shipments, it is known that  prior...

A large shipment of parts is received? out of which five are tested for defects. The number of defective parts, X, is assumed to have a
 distribution. From past shipments, it is known that

 prior distribution. Find the 95% HPD credible set for
 is observed.

The weekly number of fires, X, in a town has a
  distribution. It is desired to find a 90% HPD credible set for (J. Nothing is known a priori about (J, so the non-informative prior
 is deemed appropriate. The number of fires observed for five weekly periods was 0, 1, 1,0, O. What is the desired credible set?