Suppose that the Amtrak train is scheduled to arrive at the Dearborn Transit Center at 6:00 PM but is always X minutes late, where X is an exponential random variable with a mean of 8 minutes. Suppose that you arrive at the transit center precisely at 6:00 PM. (1) What is the probability that the train arrives between 6:06 PM and 6:12 PM? (2) Suppose that you have just waited for 8 minutes, and the train has not arrived. What is the probability that you have to wait an additional 4 minutes or longer?

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