Question: You will arrive at a train station at 3:10 P.M., knowing that the train arrives at a time uniformly distributed between 3:00 and 3:30 P.M..

You will arrive at a train station at 3:10 P.M., knowing that the train arrives at a time uniformly distributed between 3:00 and 3:30 P.M..

(a) What is the probability that you will miss the train?

(b) If, at 3:15, the train has not yet arrived, what is the probability that you will have to wait at least an additional 5 minutes?

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