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. a. What is the distribution of X? X U( b. Suppose that 36 people are surveyed. What is the distribution of a for this sample? N c. What is the probability that the average birth month of the 36 people will be more than 6.6?

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