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Probabilities and Uniform Distributions

You arrive at a bus stop at 10 o'clock, knowing that the bus will arrive at some time uniformly distributed between 10:00 and 11:00.
a) What is the probability that you will have to wait longer than 10 minutes?
b) If at 10:20 the bus has not arrived, what is the probability that you will have to wait atleast an additional 10 minutes?

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Probabilities and Uniform Distributions are investigated. The solution is detailed and well presented.

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