prosperous 4.112 Education and income. Call a household if its income exceeds $100,000. Call the household educated if the householder completed coll Select an American household at random, and let A b the event that the selected household is prosperous ar B the event that it is educated. According to the Curre Population Survey, P(A) = 0.138, P(B) = 0.261, and th probability that a household is both prosperous and
prosperous 4.112 Education and income. Call a household if its income exceeds $100,000. Call the household educated if the householder completed coll Select an American household at random, and let A b the event that the selected household is prosperous ar B the event that it is educated. According to the Curre Population Survey, P(A) = 0.138, P(B) = 0.261, and th probability that a household is both prosperous and
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Author:Amos Gilat
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![**4.112 Education and income:**
Call a household prosperous if its income exceeds $100,000. 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 the Current Population Survey, \( P(A) = 0.138 \), \( P(B) = 0.261 \), and the probability that a household is both prosperous and educated is \( P(A \text{ and } B) = 0.082 \). What is the probability \( P(A \text{ or } B) \) that the household selected is either prosperous or educated?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44b767e2-6751-4234-b8c8-6ae85db4f11d%2F87f5dc60-bcbf-4fe0-999c-f7263c653016%2Fiqzno3u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**4.112 Education and income:**
Call a household prosperous if its income exceeds $100,000. 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 the Current Population Survey, \( P(A) = 0.138 \), \( P(B) = 0.261 \), and the probability that a household is both prosperous and educated is \( P(A \text{ and } B) = 0.082 \). What is the probability \( P(A \text{ or } B) \) that the household selected is either prosperous or educated?
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