In​ 1970, 11​% of people in a certain region completed four years of​ college; 38​% of them were women. In​ 1990, ​23% of people in the same region completed four years of​ college; ​54% of them were women. In each part​ below, a person is selected at random from the region. (a) Given that a p erson completed four years of college in 1970, what is the probability that the p erson was a woman? (b) What is the probability that a woman finished four years of college in 1990? (c) What is the probability that a man had not finished college in 1990?

A First Course in Probability (10th Edition)
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In​ 1970, 11​% of people in a certain region completed four years of​ college; 38​% of them were women. In​ 1990, ​23% of people in the same region completed four years of​ college; ​54% of them were women. In each part​ below, a person is selected at random from the region.

(a) Given that a p erson completed four years of college
in 1970, what is the probability that the p erson was
a woman?
(b) What is the probability that a woman finished four
years of college in 1990?
(c) What is the probability that a man had not finished
college in 1990?

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