The U.S. 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.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 households 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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The U.S. 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.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 households 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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