Find pdf of time to wait for the first train to arrive

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The metro train arrives at the station near your home every quarter hour starting at 6:00 a.m. You walk into the station every morning between 7:10 and 7:30, with your start time being random and uniformly distributed in this interval. What is the PDF of the time that you have to wait for the first train to arrive?

Reference no: EM13120694

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