15. People Who Have Some College Education Fifty-three percent of all persons in the U.S. population have at least some college education. Choose 10 persons at random. Find the probability that a. Exactly one-half have some college education b. At least 5 do not have any college education c. Fewer than 5 have some college education Source: New York Times Almanac.
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This is a binomial probability problem, where n=10 (the number of trials), k=5 (the number of "successes" we want), and p=0.53 (the probability of "success" on each trial). The formula for binomial probability is: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)) where Show more…
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