[nex92] Random train connections

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First found ноя 9, 2016

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[nex92] Random train connections
Trains X and Y reach a station at random and independently of each other between 8:00am and
8:20am. Train X stops for 4 minutes and train Y for 5 minutes.
(a) Find the probability that train X arrives before train Y .
(b) Find the probability that the two trains meet at the station.
(c) Find the probability that train Y pulls into the station while train X is already there.
Solution:

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