The number of seconds X after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible. What is the distribution of X? X ~ U( , ) then...

The number of seconds X after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible.

1. What is the distribution of X? X ~ U(     ,     )

then the sampling distribution is

2. Suppose that 38 classes are clocked.  What is the distribution of ¯xx¯ for this group of classes? x¯ ~ N(     ,      )


3. What is the probability that the average of 38 classes will end with the second hand between 22 and 26 seconds?