By writing and using repeated integration by parts, show that the posterior distribution of p can be

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By writing 

w(w+w-2pr)-(n-1) = "-2 (1-p2)-(n-1) x [1+ (w pr)(1 - pr)-]-(n-1) -

and using repeated integration by parts, show that the posterior distribution of p can be expressed as a finite series involving powers of

(1-pr)/(1+pr)and Student's t integrals.  

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