The heights in inches of 20 college women were collected, observing the following measurements: 47 64 61 61 63 61 64 66 63 63.5 65 62 64 61 56 63 55 64 Suppose one assumes that the Normal mean and precision parameters are independent with ,u distributed Norma1(62, 1} and 45 distributed Gamma with parameters a, = 1 and b = 1. 67 59 Suppose one is interested in estimating the 90th percentile of the height distribution P90 2 ,u l 1.6450. Collect simulated draws from the posterior of P93 and construct a density estimate