Q-4 Ch-4 # 51 The U.5. Census Bureau serves as the leading source of quantitative data about the nation's people and economy. The following crosstabulation shows the number of households {1000s) and the household income by the highest level of education for the head of household {U.5. Census Bureau website, https://www.census.gov/library/publications/2017/acs/acsbr16-02.html). 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 $25,000 549,999 $99.999 and Over Total High school graduate 9880 9970 9441 3482 32,773 Bachelor's degree 2484 41464 7456 7817 22,131 Master's degres &85 1205 309 4094 2003 Doctoral degree e 160 422 10746 1737 Total 13,128 15,499 20,548 16,467 635,644 a. Develop a joint probability table. b. What is the probability of the head of one of these households having a master's degree or more education? . What is the probability of a household headed by someone with a high school diploma earning 5100,000 or more? d. What is the probability of one of these households having an income below $25,0007 e. What is the probability of a household headed by someone with a bachelor's degree earning less than $25,0007 f. Is household income independent of educational level? -4: Ch-4 # 51-Solution