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Problem 5. (8 points) ) Suppose the score of a intelligence test follows a normal distribution: X|9 ~ N(9, 100) The test result of a subject is :1: = 115. We are interested in testing HozgIOO vs H1:6>100 Suppose the prior probability of two Hypothesis is the same: Pr(Ho) = PT(H1). Suppose the prior for 9 is normal distribution with mean 100 and variance 225. (a) Calculate the Bayes factor of Ho 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