Hii all In this qus., part (iii) how the prior mean is 1? The prior pdf is g(∅)= ∅exp(-∅). Then it should be gamma(2,1) dist. and mean of it is 2. I don't know what's going wrong . Please anyone explain how the prior mean is 1? Thanks
There is a mistake in the solution - they have just integrated the PDF and got the total probability, which is 1. They haven't found the mean which should be the integral of theta times the PDF.