Answer both questions with explanation

Pr- _ '- _ _: Suppose the score of a intelligence test follows a normal distribution: X |9 ~ N (S, 100) The test result of a subject is :r = 115. We are interested in testing 110:05100 vs H1:0>100 Suppose the prior probability of two Hypothesis is the same: Par-(Ho) = Pr(H1). Suppose the prior for 0 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 Ho? What is the posterior probability of H1

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