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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**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?
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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given data P(A) = 0.138P(B) = 0.261P(A and B) = 0.082P(A or B) = ?

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