The following crosstabulation shows the number of households (1,000s) and the household income by the highest level of education for the head of household. Only households in which the head has a high school diploma or more are included. Household Income Highest Level Under $25,000 to $50,000 to $100,000 of Education $25,000 $49,999 $99,999 and Over Total High school graduate 9,874 9,979 9,434 3,477 32,764 Bachelor's degree 2,480 4,165 7,676 7,809 22,130 Master's degree 683 1,203 3,012 4,088 8,986 Doctoral degree 69 163 419 1,076 1,727 Total 13,106 15,510 20,541 16,450 65,607 (a) Develop a joint probability table. (Round your answers to four decimal places.) Household Income Highest Level Under $25,000 to $50,000 to $100,000 of Education $25,000 $49,999 $99,999 and Over Total High school graduate Bachelor's degree Master's degree Doctoral degree Total 1.0000(b) What is the probability of the head of one of these households having a master's degree or more education? (Round your answer to four decimal places.) H (c) What is the probability ofa household headed by someone with a high school diploma earning $100,000 or more? (Round your answer to four decimal places.) H (d) What is the probability of one of these households having an income below $25,000? (Round your answer to four decimal places.) H (e) What is the probability ofa household headed by someone with a bachelor's degree earning less than $25,000? (Round your answer to four decimal places.) U (f) Is household income independent of educational level? 0 No, P($100,000 or more | high school) * P(high school) 0 Yes, P($100,000 or more | high school) = P(high school) 0 No, P($100,000 or more n high school) i 0 0 Yes, P($100,000 or more n high school) = 0