6.57 This table classifies wartime veterans as of the year 2003 by their age and
ID: 3041916 • Letter: 6
Question
6.57 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. Under 45 3,119 307 223 101 Gulf war Vietnam Era Korean War World waril Total 3,119 0 1,012 0 2.334 0 3402 0 1,418 8659 45-49 50-54 55-59 705 2.111 3,301 1,390 703 60-64 28 65 or over 3,580 4,370 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?Explanation / Answer
a) here overlapping categories can be war served in ; as a person can serve in two wars; but can not have two ages at same time
b)
P(G given U) =3119/3119 =1
P(U given G) =3119/(3119+307+223+101+28+6)=0.8243
c)
most probabile age should be 55-59 as this age group has highest frequency among people who fought Vietnam war.
d)
most probable war is world war II as its frequency is highet among people who are 65 or more.
e)
it should decrease as people who fought in world war II have maximum age and highest probability of dying earlier than other categories.
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