# Given the prior, p(x) of: 1/x (x) from 0 to infAnd the sampling model , p(y|x) o

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Given the prior, p(x) of: 1/x (x) from 0 to infAnd the sampling model , p(y|x) of: 1/x (y) from 0 to xLet Y = Y1, Y2, …., Yn, Yn+1 |x be i.i.d. with a common sampling model given by p(y|x). Let T = max{Y1, Y2,…, Yn}For y = (y1, y2, …., yn), derive an expression for the marginal density.