Education Level Not H.S. Graduate H.S. Graduate Some College Bachelor\'s Degree

Question

Education Level Not H.S. Graduate H.S. Graduate Some College Bachelor's Degree Beyond Bach. Deg. Total Household Income ($1000s) Under 25.0- 50.0- 75.0- 100 or 25 49.9 74.9 99.9 more Total 4,207 3,459 1,389 539 367 9,961 4,917 6,850 5,027 2,637 2,668 22,099 2,807 5,258 4,678 3,250 4,074 20,067 885 2,094 2,094 2,848 2,581 5,379 13,787 290 829 1,274 1,241 4,188 7,822 | 13,106 18,490 15,216 10,248 16,676 | 73,736 a. Develop a joint probability table (to 4 decimals). Household Income ($1000s) 50-74.9 Under 25 25-49.9 75-99.9 100 or more Total Education Level Not H.S. Graduate .42368 9961 H.S. Graduate Some College 333333 Bachelor's Degree O Beyond Bach. Degree 0 0 0 Total b. What is the probability of a head of household not being a high school graduate (to 4 decimals)? .1351 c. What is the probability of a head of household having a bachelor's degree or more education (to 4 decimals)? .2931 d. What is the probability of a household headed by someone with a bachelor's degree earning $100,000 or more (to 4 decimals)? .3226 e. What is the probability of a household having income below $25,000 (to 4 decimals)? .3902 f. What is the probability of a household headed by someone with a bachelor's degree earning less than $25,000 (to 4 decimals)? .1777

Explanation / Answer

a. Joint probability table

b. probability of head of the family not being a high school graduate?

Answer- .1351

c. probability of a head of household having a bachelor's degree or more education?

Answer- .2931

d propability of a household being headed by someone with a bachelor's degree earning $100000 or more?

Answer- .1297

e. probability of a household having an income below $25000?

Answer- .1777

f. what is the probability of a household headed by someone with a bachelors degree earning less than $25000?

Answer- .0159

House hold income ($1000s) education level under 25 25-49.9 50-74.9 75-99.9 100 or more Total not hs graduate 0.0571 0.0469 0.0188 0.0073 0.0050 0.1351 hs graduate 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 Degree 0.0120 0.0284 0.0386 0.0350 0.0729 0.1870 Beyond Bachelor's degree 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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