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answer questions in the pic plz Assume the response of our new drug is continuous and distributed normally with mean, 0, and known variance 1.

answer questions in the pic plz

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Assume the response of our new drug is continuous and distributed normally with mean, 0, and known variance 1. Xi ~N(0,1) Within 30 patients we see a mean response of 0.3. Assume we place a uniform prior on 0 Pr(0) = 1 for all 0. Questions: What is the posterior distribution of 0? What is the posterior probability that 0 is bigger than 0? There is a 95% probability that 0 is between _ and What is the predictive probability of success of a 100 patient Phase 3 trial with known variance 1? At the end of Phase 3 we will do a one sided t-test (0>0) and claim success if the p-value

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