The metro train arrives at the station near your home every quarter hour starting at 6: You walk into the station every morning between 7:10 and 7:

The metro train arrives at the station near your home every quarterhour starting at 6:00 a.m. You walk into the station every morning between7:10 and 7:30, with your start time being random and uniformly distributedin this interval. What is the PDF of the time that you have to wait forthe first train to arrive?