5.2 Let
Y
have a binominal distribution in which
n=20
and
p=\theta
. The prior probability on
\Theta
is
\Beta (a,b)
, where
a,b>0
are known constants. Find the following: (a) Posterior distribution. (b) Bayes' point estimate of
\Theta
, when
L[\theta ,\delta (y)]=[\theta -\delta (y)]^(2)
.