51. The following cross tabulation shows household income by educational level of the

????? Head of household (Statistical Abstract of the United States:2008)

?

??????

?????????????????????????????? Under???? 25.0-???????? 50.0-??????? 75.0-????????? 100 or

Education Level?????? 25???????? 49.9?????????? 74.9???????? 99.9??????????? more????????????? total

Not HS Grads.?????? 4,207???? 3,459????????? 1,389?????? 539???????????? 367?????????????? 9,961

HS Graduates?????? 4,917???? 6,850???????? 5,027?? ????2,637????????? 2,668??????????? 22,099

Some college????????? 2,807??? 5,258????????? 4,678?????? 3,250????????? 4,074??????????? 20,067

Bachelor degree?? ???885????? 2,094?????????? 2,848?????? 2,581???????? 5,379???????????? 13,787

Beyond Bachelor?? ??290????? 829?????????? 1,274????? 1,241????????? 4,188????????????? 7,822

? Degree

TOTAL?????????????? 13,106???? 18,490????? 15,216?????? 10,248?????? 16,676???????? 73,736

A.? Develop a joint probability table.

B. What is the probability of a head of household not being a high school graduate?

C. What is the probability of a head of household having a Bachelor?s degree or more

?????? Education?

D. What is the probability of a household headed by someone with a Bachelor?s degree

????? Earning \$100,000 or more?

E. What is the probability of a household having income below \$25,000?

F. What is the probability of a household headed by someone with a Bachelor?s degree

????? Earning less than \$25,000

G. Is household income independent of education level?