The following crosstabulation shows household income by educational level of the

Question

The following crosstabulation shows household income by educational level of the head of household (Statistical Abstract of the United Ststes 2008). Your work has to show the steps that you've taken to answer each question. If, in order to answer any of the questions below, you need to find other probabilities, please show them as well Household Incomes ($1000s) 50-74.9 1,389 5,027 4,678 2,848 1,274 15,216 100 plus 367 2,668 4,074 5,379 4,188 16,676 Total 9,961 22,099 20,067 13,787 7,822 73,736 Under 25 Not HS grad 4,207 HS grad4,917 Some college 2,807 885 290 25.0-49.9 3,459 6,850 5,258 2,094 829 18,490 75-99.9 539 2,637 3,250 2,581 1,241 10,248 Bachelor's Beyond Bachelor's Total13,106 a. Develop a joint probability table b. What is the probability of a head of household not being a highschool graduate? c. What is the probability that a randomly selected head of household has 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?

Explanation / Answer

dividing each cell value with 73736

a)joint probability table:

b)P(not high school graduate) =0.1351

c)

P(bachelore or more)=0.1870+0.1061 =0.2931

d)

P(bachelor degree and earning $100000 or more) =0.0729

<25 25-49.9 50-74.9 75-99.9 >100 Total not HS grad 0.0571 0.0469 0.0188 0.0073 0.0050 0.1351 HS grad 0.0667 0.0929 0.0682 0.0358 0.0362 0.2997 some college 0.0381 0.0713 0.0634 0.0441 0.0553 0.2721 Bachelor's 0.0120 0.0284 0.0386 0.0350 0.0729 0.1870 beyond Bachelor's 0.0039 0.0112 0.0173 0.0168 0.0568 0.1061 total 0.1777 0.2508 0.2064 0.1390 0.2262 1.0000

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