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Customers arrive at your store based on a Poisson process with a mean of 4 arrivals per hour. It is currently 3:00 pm and the

Customers arrive at your store based on a Poisson process with a mean of 4 arrivals per hour.

It is currently 3:00 pm and the last customer came in at 2:15 pm.

What is the probability that no new customers will arrive before 3:15 pm?

Include 4 places past the decimal in your answer.

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