Although cities encourage carpooling to reduce trafc, Basic Statistics

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Although cities encourage carpooling to reduce trafc

Carpooling

Although cities encourage carpooling to reduce traf?c congestion, most vehicles carry only one person. For example, 70% of vehicles on the roads in the Minneapolis-St. Paul metropolitan area are occupied by just the driver.

(a) If you choose 12 vehicles at random, what is the probability that more than half (that is, 7 or more) carry just one person?

(b) If you choose 80 vehicles at random, what is the probability that more than half (that is, 41 or more) carry just one person?

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