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The following cross-tabulation shows household income by educational level of the head of household Household Income...

The following cross-tabulation shows household income by educational level of the head of household

Household Income ($1000s)
Education Level Under 25 25.0 –49.9 50.0 – 74.9 75.0 – 99.9 100 or more Total
Not H.S. Graduate 4,207 3,459 1,389 539 367 9,961
H.S. Graduate 4,917 6,850 5,027 2,637 2,668 22,099
Some College 2,807 5,258 4,678 3,250 4,074 20,067
Bachelor’s Degree 885 2,094 2,848 2,581 5,379 13,787
Beyond Bach. Deg. 290 829 1,274 1,241 4,188 7,822
Total 13,106 18,490 15,216 10,248 16,676 73,736
Education Level Under 25 25.0 –49.9 50.0 – 74.9 75.0 – 99.9 100 or more Total
Not H.S. Graduate 0.057 0.047 0.019 0.007 0.005 0.135
H.S. Graduate 0.067 0.093 0.068 0.036 0.036 0.300
Some College 0.038 0.071 0.063 0.044 0.055 0.272
Bachelor’s Degree 0.012 0.028 0.039 0.035 0.073 0.187
Beyond Bach. Deg. 0.004 0.011 0.017 0.017 0.057 0.106
Total 0.178 0.251 0.206 0.139 0.226 1.000

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? Clearly show your work in the space below.

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