Let 6, denote the proportion of defectives in a large population of cell phone parts. A sample of s i x 15 is taken from the population and three defectives a x found. Suppose the prior distribution for I ) is beta, with density:

g(0) 0: I P ( 1 - tr)9 ’ $ 0 5 tr 5 1.

Adopt the loss function:

Give a Bayes’ estimate for 0.