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Many U.S. cities are investing and encouraging a shift of commuters toward the use of public...

Many U.S. cities are investing and encouraging a shift of commuters toward the use of public transportation or other modes of non-auto commuting. Among the 10 largest U.S. cities, New York City and Philadelphia have the two highest percentages of non-auto commuters at 73% and 41%, respectively.

  1. If you choose 10 NYC commuters at random, what is the probability that more than half (that is, six or more) are non-auto commuters?
  2. If you choose 100 NYC commuters at random, what is the probability that more than half (that is, 51 or more) are non-auto commuters?
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