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The table below describes residents of an Atlanta neighborhood (this is the global condition of both the data set and probabilistic statements below) based on

The table below describes residents of an Atlanta neighborhood (this is the global condition of both the data set and probabilistic statements below) based on their car ownership and public transportation usage.

Owns car Does not own car Total
Uses public transport 34 94 128
Does not use public transport 126 17 143
Total 160 111 271

Is owning a car independent of using public transportation?

  1. Yes, because Pr(owns car | uses public transit) = Pr(owns car)
  2. Yes, because Pr(owns car AND uses public transit) = Pr(owns car) ? P(uses public transit)
  3. No, because Pr(owns car AND uses public transit) =6 Pr(owns car) ? P(uses public transit)
  4. No, because Pr(owns car | uses public transit) =6 Pr(owns car)
  5. Both 3 and 4

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