Foreign-born Californians. The Census Bureau reports that 27% of Californiaresidents are

Chapter 0, Problem 12.32

(choose chapter or problem)

Foreign-born Californians. The Census Bureau reports that 27% of Californiaresidents are foreign-born. Suppose that you choose three Californians at random,so that each has probability 0.27 of being foreign-born and the three choices areindependent of each other. Let the random variable X be the number offoreign-born people you chose.(a) What are the possible values of X?(b) Look at your three people in order. There are eight possible arrangements offoreign (F) and domestic (D) birth. For example, FFD means the first two areforeign-born and the third is not. Write down all eight arrangements and find theprobability of each arrangement.(c) What is the value of X for each arrangement in (b)? What is the probabilityof each possible value of X? (You have found the distribution of a Yes/No responsefor an SRS of size 3. In principle, the same idea works for an SRS of any size.)