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Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4

Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible.

  1. What is the distribution of XX? XX ~ U(,)
  2. Suppose that 39 people are surveyed. What is the distribution of xxfor this sample?xx ~ N(,)
  3. What is the probability that the average birth month of the 39 people will be less than 5.5?

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