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. What is the distribution of XX? X~ U(____...

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? X~ U(____ ,____ )


2. Suppose that 36 people are surveyed.  What is the distribution of ¯x for this sample? ¯x  ~ N(____ , _____)


3. What is the probability that the average birth month of the 36 people will be more than 5.2?________