Problem 5. (8 points) ) Suppose the score of a intelligence test follows a normal distribution: X|9 N N(6,100) The test result of a subject is a: = 115. We are interested in testing Ho.9100 'US H1'6>100 Suppose the prior probability of two Hypothesis is the same: Pr(Ho) : Pr(H1). Suppose the prior for 9 is normal distribution with mean 100 and variance 225. (a) Calculate the Bayes factor of H0 against H1. (Use R code or the 2 table to compute the value.) (b) What is the posterior probability of H0? What is the posterior probability of H1