Waiting time. The waiting time for a bus at a given corner at a certain time of day is known to have a U(0, ?) distribution. It is desired to test H0 : 0 ? ? ? 15 versus H1 : ? > 15. From other similar routes, it is known that ? has a P areto(5, 3) distribution. If waiting times of 10, 3, 2, 5, and 14 are observed at the given corner, calculate the posterior odds ratio and the Bayes factor. Which hypothesis would you favor? Note: the density of a Pareto distribution with parameters (?, ?) is given by