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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 ofX?X~ U(_______, _________)
  2. Suppose that 37 people are surveyed.What is the distribution ofx for this sample?x~N(________, _______)
  3. What is the probability that the average birth month of the 37 people will be more than 4.4?(________)

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