Consider again the problem described in Exercise 6, but suppose now that the prior p.d.f. of is as follows: As in Exercise 6, suppose

Consider again the problem described in Exercise 6, but suppose now that the prior p.d.f. of θ is as follows:

As in Exercise 6, suppose that in a random sample of eight items exactly three are found to be defective. Determine the posterior distribution of θ.

()-1 2(1-) for 0 <