Indepdent observation [Xi;i=1,2,-----,10]are taken from a power distribution with density function

p(x/)=x^-1; 00

The prior for is gamma (10, 6.66).find the posterior predictive distribution of a future observation xn+1.show that the predictive distribution function of xn+1 is

F(xn+1/x _)=(1-ln (xn+1)/12.5)^-20.and hence determine the predictive median