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Of the people living in a large city, 30% have high income, 50% have middle income,...

Of the people living in a large city, 30% have high income, 50% have middle income, and 20% have low income. Of those who have high income, 10% are expats. Of those who have middle income, 30% are expats. Of those who have low income, 20% are expats.

  1. What is the probability that a randomly selected person is an expat? Show your work.

  2. What is the probability that a randomly selected person has high income, given that the person is an expat? Show your work.

  3. What is the probability that a randomly selected person has low income, given that the person is NOT an expat? Show your work.

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