Chapter 2.3, Problem 6E

Place eight chips in a bowl: Three have the number 1 on them, two have the number 2, and three have the number 3. Say each chip has a probability of $\frac{1}{8}$ of being drawn at random. Let the random variable X equal the number on the chip that is selected, so that the space of X is S = {1. 2,3}. Make reasonable probability assignments to each of these three outcomes, and compute the mean $\mu$ and the variance ${\sigma }^2$ of this probability distribution.