income by the highest level of educational attainment for the head of the household. Use this crosstabulation to answer the following questions: Household income Highest level of education Under $25,000 $25,000 to $49,999 $50,000 to $99,999 $100,000 and over Total High school graduate 9,700 11,251 9,651 4,856 35,458 Bachelor's degree 2,650 4,321 7,874 7,981 22,826 Master's degree 785 1,305 3,056 5,051 10,197 Doctoral degree 98 189 589 1,313 2,189 Total 13,233 17,066 21,170 19,201 70,670 a. Develop a joint probability table. (2 marks) b. What is the probability that the head of one of these households has a master's degree or higher degree? (2 marks) c. What is the probability a household is headed by someone with a high school diploma earning $100,000 or more? (2 marks) d. What is the probability that one of these households has an income below $25,000? (2 marks) e. What is the probability of a household headed by someone with a bachelor's degree earning less than $25,000? (2 marks) f. Are household income and educational level independent? Explain.