We take 8 identical slpis of paper, write the number 0 on one of them, number 1 on three of the slips, the number 2 on three of the slips and number 3 on one of the slpis. These slips are folded, put in a box and thoroughly mixed. One slip is then drawn at random from the box. If Z is the random variable denoting the number written on the drawn slip, find the probability distribution of Z.