Household Income ($1000s) Education Level Not H.S Graduate H.S Graduate Some Col
ID: 3375804 • Letter: H
Question
Household Income ($1000s) Education Level Not H.S Graduate H.S Graduate Some College Bachelor's Degree Beyond Bach. Deg. Under 25.050.0- 75.0 100 or 74.9 3459 1389 539 5027 4678 25 4207 49.9 4917 6850 2807 5258 829 99.9 Total 9961 22,099 20,067 13,787 7822 73,736 more 367 2668 4074 5379 4188 13,106 18,490 15,216 10,248 16,676 2637 3250 885 2094 2848 2581 1241 290 1274 Total 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? hat is the probability of household headed by someone with a bachelor's degree earning $100,000 or more? d) W ) What is the probability of a household having income level below $25,000? What is the probability of household headed by someone with a bachelor's degree earning less than $25,000? g) Is household income independent of educational level?Explanation / Answer
(a)
The joint probability table is constructed by dividing all values by the grand total (73,736). The joint probability table is shown below.
b)
From the joint probability table, the probability of a head of household not being a high school gradute
= 0.1351
c)
From the joint probability table, the probability of a head of household having a bachelor's degree or more education
= 0.1870 + 0.1061 = 0.2931
d)
From the joint probability table, the probability of household headed by someone with a bachelor's degree earning $100,000 or more = Probability for bachelor's degree and 100 or more
= 0.0730
e)
From the joint probability table, the probability of household having income level below $25,000 = 0.1777
f)
From the joint probability table, the probability of household headed by someone with a bachelor's degree earning $25,000 = Probability for bachelor's degree and under 25
= 0.0120
Education level Under 25 25.0 - 49.9 50 - 74.9 75.0 - 99.9 100 or more Total Not H.S. Graduate 0.0571 0.0469 0.0188 0.0073 0.0050 0.1351 H.S. Graduate 0.0667 0.0929 0.0682 0.0357 0.0362 0.2997 Some College 0.0381 0.0713 0.0634 0.441 0.0552 0.2721 Bachelor's Degree 0.0120 0.0284 0.0386 0.0350 0.0730 0.1870 Beyond Bach. Degree 0.0039 0.0113 0.0173 0.0168 0.0568 0.1061 Total 0.1777 0.2508 0.2063 0.1390 0.2262 1Related Questions
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