The U.S. Census Bureau serves as the leading source of quantitative data about the nation's people and economy. The following cross tabulation shows the number of households (1000s) and the household income by the highest level of education for the head of household (U.S. Census Bureau website, 2013). Only households in which the head has a high school diploma or more are included?

a. Develop a joint probability table.
b. What is the probability of the head of one of these household having a master's degree or more education?
c. What is the probability of a household headed by someone with a high school diploma earning $100,000 or more?
d. What is the probability of one of these households having an income below $25,000?
e. What is the probability of a household headed by someone with a bachelor's degree earning less than $25,000?
f. Is household income independent of educational level?

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Household Income Highest Level of Education Under $25,000 to $50,000 to $100,000 $25,000 $49,999 $99,999 9441 7666 and OverTotal High school graduate Bachelor's degree Master's degree Doctoral degree 9970 4164 348232,773 7817 22,131 9003 1737 9880 1 685 160 422 1076 Total 13,128 20,548 16.469 65,644