medium · GRE Quant

Commute durations recorded in a metro-rail punctuality audit are normally distributed with mean 42 minutes and standard deviation 6 minutes. Use the approximation that each mean-to-one-standard-deviation band contains 34%, each one-to-two-standard-deviation band contains 14%, and each tail beyond two standard deviations contains 2%. Approximately which commute duration corresponds to the 84th percentile of the distribution?

  1. 36 minutes
  2. 42 minutes
  3. 48 minutes
  4. 54 minutes
  5. 60 minutes

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