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You are waiting at the bus stop for a bus, which arrives every X minutes, where...

You are waiting at the bus stop for a bus, which arrives every X minutes, where X is a random variable with an exponential PDF, and a mean of 30 minutes. You have been

already waiting for 10 minutes. What is the probability that you will wait for 20 more

minutes, given that you have already been waiting for 10 minutes?

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