The following crosstabulation shows household income by educational level of the head of household Statistical Abstract of the United States, 2008).

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 educationallevel?

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Household Income (S1000s) Under 25.050.0 75.0100 or 74.9 99.9 Total Education Level Not H.S. Graduate H.S. Graduate Some College Bachelor's Degree Beyond Bach. Deg. 25 49.9 more 367 4,917 6,850 5027 2,637 2,668 2,8075,258 4,678 3,250 4,074 885 2,094 2,848 2,58 5,379 829 274 1,241 4,188 4,2073,459 1389 9961 22,099 20,067 13,787 7.822 539 290 Total 13,106 18,490 15,216 10,248 16,676 73,736