The heights in inches of 20 college women were collected, observing the following measurements: 47, 64, 61, 61, 63, 61, 64, 66, 63, 67, 63.5, 65, 62, 64, 61, 56, 63, 65, 64, 59. assumes that the Normal mean and precision parameters = 1/^2 are independent.

Suppose one is interested in estimating the 90th percentile of the height distribution P90 = + 1.645. Collect 5000 simulated draws from the posterior of P90 and construct a density estimate using R.