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3. (From text) The metro train arrives at the station near your home every quarter hour starting at 6:00 am. You walk into the station

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3. (From text) The metro train arrives at the station near your home every quarter hour starting at 6:00 am. You walk into the station every morning between 7:10 and 7:30 am, with the time in this interval being a random variable with given PDF. Let X be the elapsed time, in minutes, between 7:10 and the time of you arrival. Let Y be the time that you have to wait until you board a train. Calculate the CDF of Y in terms of the CDF of X and differentiate to obtain a formula for the PDF of Y

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