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A bus stops at a stop hourly. The difference of the scheduled time and arrival time is recorded. The difference is denoted by U is uniformly distributed between 3 minutes early and 7.5 minutes late.
(I.E. U~Uniform(-3, 7.5))
What is the variance of the difference?
If the standard deviation is 3.031, and 17 buses were observed, what is the distribution? What is the type of distribution, mean, and median?
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