51. The following crosstabulation shows household income by educational level of the head of household (Statistical Abstract of the United States: 2002).

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?