Non-informative prior distributions: Suppose for a binary sampling prob- lem we plan on using a uniform, or beta(1,1), prior for the population proportion 0. Perhaps our reasoning is that this represents "no prior in- formation about 0." However, some people like to look at proportions on the log-odds scale, that is, they are interested in y = log 1 - 8 B . Via Monte Carlo sampling or otherwise, find the prior distribution for y that is in- duced by the uniform prior for 0. Is the prior informative about y