1. Prove that the conditional probability of acceptance in the loop above is f(x0|θ), and deduce that the distribution of the accepted θ is π(θ|x0).
2. The vector randu is a historical reminder of how wrong a random generator can get. It consists of 400 rows of three consecutive values produced by a former VAX random generator called RANDU.
a. Produce a random sample by taking all columns of randu, and reproduce Figure.
b. Show that the triplets randu[i,] lie on one of 15 parallel hyperplanes.
