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Education among young adults. Choose a young adult (aged 25 to 29) at random. Th

ID: 3262870 • Letter: E

Question

Education among young adults. Choose a young adult (aged 25 to 29) at random. The probability is 0.10 that the person chosen did not complete high school, 0.27 that the person has a high school diploma but no further education, and 0.34 that the person has at least a bachelor's degree. (a) What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor's degree? (b) What is the probability that a randomly chosen young adult has at least a high school education?

Explanation / Answer

12.34)

p( did not complete high school) = .10
p( that the person has a HS diploma, no further edu) = 0.27
p( atleast b.deg) = .34

a. P( has some edu beyond high school but not b.deg) = 1-.34-.10-.27 = .29

b. P(atleast a high school edu) = 1- P( no high school edu) = 1-.10 = .90

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