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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)`

.