In: Statistics and Probability
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.