Question: Please help solve this Buses show up at the bus stop randomly according to a Poisson process with a rate of 3 per hour. Lets

Please help solve this

Buses show up at the bus stop randomly according to a Poisson process with a rate of 3 per hour. Lets suppose that I arrive at the stop at 4:00PM, but sadly I am still waiting for a bus at 5:00 pm. What is the probability that a bus will finally arrive within the next 30 minutes?

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