1) Suppose that four people, including you and a friend, line up at random. a) (10 points) List the outcomes in the sample space S, the possible different orderings of the four people in line. For simplicity, number the people 1 - 4, with yourself being 1 and your friend being 2. Thus, the outcome "1234" would represent that you are first in line and your friend is second in line. b) Let Y denote the number of people standing between you and your friend. Consider the possible values of Y and determine the probability distribution, f(y). c) What is the probability that there will be at least one person between you and your friend in the line