SOLUTION: The Census Bureau's Current Population Survey shows 28 percent of individuals, ages 25 and older, have completed four years of college (The New York Times Almanac, 2006). For a sam

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Question 1019909: The Census Bureau's Current Population Survey shows 28 percent of individuals, ages 25 and older, have completed four years of college (The New York Times Almanac, 2006). For a sample of 15 individuals, ages 25 and older, answer the following questions:
a) What is the probability 4 will have completed four years of college?
b) What is the probability 3 or more will have completed four years of college?
Answers:
a) 0.2262
b) 0.8355

Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Census Bureau's Current Population Survey shows 28 percent of individuals, ages 25 and older, have completed four years of college (The New York Times Almanac, 2006). For a sample of 15 individuals, ages 25 and older, answer the following questions:
Binomial Conditions with p = 0.28 and n = 15
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a) What is the probability 4 will have completed four years of college?
P(x = 4) = 15C4*0.28^4*0.72^11 = binompdf(15,0.28,4) = 0.2262
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b) What is the probability 3 or more will have completed four years of college?
P(3 <= x <= 15) = 1 - binomcdf(15,0.28,2) = 0.8355
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Cheers,
Stan H.
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Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28N%29=C%2815%2CN%29%2A%280.28%5EN%29%281-0.28%29%5E%2815-N%29
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a)N=4
P%284%29=C%2815%2C4%29%2A%280.28%5E4%29%280.72%5E11%29
P%284%29=0.2262
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b) For 3 or more, you can calculate P(0),P(1),P(2) and subtract from 1 or do P(3),P(4),...
P%28N%3E3%29=0.8355
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Here's the screenshot from EXCEL,
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