Non-informative prior distributions: Suppose for a binary sampling problem we plan on using a uniform, or beta(1,1), prior for the population proportion . Perhaps our reasoning is that this represents "no prior information about ." However, some people like to look at proportions on the log-odds scale, that is, they are interested in = log ( /1 ). Via Monte Carlo sampling or otherwise, find the prior distribution for that is induced by the uniform prior for . Is the prior informative about ?