the san francisxo bay area\'s commuter rail system is called bart. each of the 3

Question

the san francisxo bay area's commuter rail system is called bart. each of the 39 statiins in the system can be assigned to one of four geographic areas. based on data collecte, the probability that a rider's destinatiin will be in eaxh of these regions was- san francisco downtown-0.360, and san francisco sourh- 0.177 the probability of a rider's destinatikn being one of the other two areas has the relationship that the destination being east bay urban is four times that of east bay suburban, what are the probabilities foe east bay urban and east bay suburban?

Explanation / Answer

P( San Francisco downtown) = 0.360

P( San Francisco south) = 0.177

The total probability is 1

i, e P( San Francisco downtown) + P ( San Francisco south) + P ( East bay urban ) + P ( east bay suburban) = 1

i, e P ( East bay urban ) + P ( east bay suburban) = 1-0.360-0.177

Now P ( east bay urban ) = 4* P ( east bay suburban)

Therefore 5* P( east bay suburban) = 0.463

P ( east bay suburban) = 0.0926

P ( east bay urban ) = 0.3704

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