Question

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.

Answer 1