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Mathematics, 07.06.2021 16:20 potato3999

Famously, the BART's last run of the night is before the bars in San Francisco stop serving. Before that, trains run through the station every 15 minutes -- e. g. 11:00, 11:15, 11:30, 11:45. Suppose that you leave the bar between 11:00 and 11:20, and your arrival at the BART station is uniform on the times from 11:10 - 11:30. What is the expected value of your wait time at the train?

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