A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected steel rod, find the probability that the length is between 232.4-cm and 232.5-cm.

Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round all answers to four decimal places if necessary.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  3. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm and 232.5-cm. 

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