Question: 2.11 Every morning, John leaves for work between 7:00 and 7:30. The trip always takes between 40 and 50 min. Let X denote the time

2.11 Every morning, John leaves for work between 7:00 and 7:30. The trip always takes between 40 and 50 min. Let X denote the time of departure and let Y denote the travel time. Assume that both variables are independent and both are uniformly distributed on the respective intervals. Find the probability that John arrives at work before 8:00.

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