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The following cross tabulation shows household income by educational level of the head of household (Statistical Abstract of the United States: 2002).
Household Income ($1000s)
Under
25.0-
50.0-
75.0-
100 or
Education Level
25
49.9
74.9
99.9
more
Total
Not H.S. Graduate
9,285
4,093
1,589
541
354
15,862
H.S. Graduate
10,150
9,821
6,050
2,737
2,028
30,786
Some College
6,011
8,221
5,813
3,215
3,120
26,380
Bachelor's Degree
2,138
3,985
3,952
2,698
4,748
17,521
Beyond Bach. Deg.
813
1,497
1,815
3,765
9,479
28,397
27,617
19,219
10,780
14,015
100,028
a. Develop a joint probability table.
b. What is the probability of a head of household not being a high school graduate?
c. What is the probability of a head of household having a bachelor's degree or more education?
d. What is the probability of a household headed by someone with a bachelor's degree earning $100,000 or more?
e. What is the probability of a household having income below $25,000?
f. What is the probability of a household headed by someone with a bachelor's degree earning less than $25,000?
g. Is household income independent of educational level?
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