1a. For Bayesian inference, we will assume the prior distribution N ormal(0, 1 0 ) for all parts below. Remember, from lecture that we can interpret 0 as the pseudo-number of prior observations with sample mean 0 = 0. State the posterior distribution of given y1, .., yn. Report the lower and upper bounds of the 95% quantile-based posterior credible interval for , using the fact that for a normal distribution with standard eviation , approximately 95% of the mass is between 1.96