SOLUTION: Trains in the Edge City subway system run every seven minutes, so if you go to a subway station at a randomly-selected time, the length of time you have to wait for a train is a un

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Question 1186643: Trains in the Edge City subway system run every seven minutes, so if you go to a subway station at a randomly-selected time, the length of time you have to wait for a train is a uniformly-distributed random variable in the interval 0 to 7 minutes.
Find the probability that you have to wait more than six minutes for a subway train in Edge City.
Give your answer as a decimal, rounded to three significant figures.

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
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Trains in the Edge City subway system run every seven minutes, so if you go to a subway station at a randomly-selected time,
the length of time you have to wait for a train is a uniformly-distributed random variable in the interval 0 to 7 minutes.
Find the probability that you have to wait more than six minutes for a subway train in Edge City.
Give your answer as a decimal, rounded to three significant figures.
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    P = %281-0%29%2F7 = 1%2F7 = 0.143  (rounded).    ANSWER


"you have to wait more than six minutes for a subway train"  MEANS that YOU arrived to the station 

in the interval from 0 to 1 minutes after departure of the previous train, 

which (interval) is the same as 7 to 6 minute before arriving the next train.

Solved.