A wooden cube with painted faces is sawed up into 27 little cubes, all of the same size. The little cubes are then mixed up, and one is chosen at random. Let the random variable X denote the number of faces painted on a randomly chosen little cube. (a) Write down the distribution of X. (That is, either specify the PMF of X using a table or draw its graph; if you choose to draw the graph, make sure to mark it properly and clearly.) (b) What is pX (2)? (c) Calculate E [X]. (d) Calculate Var(X).