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

1. What is the distribution ofX?X~ U(________,__________) then the sampling distribution is
2. Suppose that 37 classes are clocked.What is the distribution ofxfor this group of classes?x~ N(______, ________)
3. What is the probability that the average of 37 classes will end with the second hand between 28 and 31 seconds?(_________)