medium · GRE Quant

Component resistances in an electronics-acceptance lot are normally distributed with standard deviation 12 ohms. Approximately 2% of the resistances exceed 180 ohms. 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%. What is the mean resistance?

  1. 144 ohms
  2. 156 ohms
  3. 168 ohms
  4. 180 ohms
  5. 192 ohms

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