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The number of seconds XX after the minute that class ends is uniformly distributed between 0...

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 XX? XX ~ U(,)
  2. then the sampling distribution is
  3. Suppose that 35 classes are clocked. What is the distribution of ¯xx¯ for this group of classes? ¯xx¯ ~ N(,)
  4. What is the probability that the average of 35 classes will end with the second hand between 22 and 27 seconds?
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