Consider the fraction of defective items in a batch of manufactured parts. Say that the prior

Consider the fraction È of defective items in a batch of manufactured parts. Say that the prior distribution of È is a beta distribution with parameters «i = 5 and ct2 = 10 (see Section 7.6.2 for a description of the beta distribution). A new batch of 30 items is manufactured and two of them are found defective. What is the posterior estimate of È, if we use Eq. (14.21)?