Unformatted text preview: Call a household prosperous if its income exceeds $150,000. Call the household
educated if the householder completed college. Select an American household at
random, and let A be the event that the selected household is prosperous and B the event
that it is educated. According to a government survey, P(A) = 0.25 and P(B) = 0.42, and
the probability that a household is both pIOSperous and educated is P(A and B) = 0.20.
What is the P(Ac and BC)? (Remember to express your answer as a proportion.) 5. The voters in a large city are 50% White, 40% black, and 10% Hispanic. Candidate
Smith Wins 40% of the White vote, 90% of the black vote, and 30% of the Hispanic vote.
What is the conditional probability that a voter is black given that the voter voted for
candidate Smith (rounded to four decimal places)? (Remember to express your answer
as a proportion.) ...
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- Spring '08