The number of seconds XX 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( , )...

The number of seconds XX 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 39 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 39 classes will end with the second hand between 24 and 31 seconds?