need help in the questions in the pic

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