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A manufacturer of automobile batteries claims that the average life of its best battery is 54 months with a standard deviation of 6 months. You

A manufacturer of automobile batteries claims that the average life of its best battery is 54 months with a standard deviation of 6 months. You may assume a Normal distribution

  • Find the probability that one battery will last less than 52 months.
  • Consider a random sample of 50 batteries. Find the probability that the sample average battery life will be less than 52 months.
  • Why are the probabilities computed in a) and b) different?

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