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 35 people are surveyed. What is the distribution of x̄ for this sample? x̄ ~ N( , )
c. What is the probability that the average birth month of the 35 people will be less than 7.4?