This table classifies wartime veterans as of the year 2003 by their age and the war in which they served. The data are in thousands.
a. Which of the variables could allow for overlapping categories: age, war served in, both, or neither?
b. If G represents the event of having served in the Gulf War, and U represents the event of being under 45, find P(G given U) and P(U given G).
c. What was the most probable age group for a Vietnam War veteran in 2003?
d. If a veteran was 65 or over, what was the most probable war in which to have fought?
e. Suppose a similar table is constructed in 2008. How would the probability of a veteran having fought in World War II compare to the probability in 2003: would it have increased, decreased, or stayed the same?