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Mathematics, 27.02.2020 17:36 toyaluv2013

A professor reads papers according to a Poisson process with mean 30 minutes per paper. Assume that as soon as the professor finishes reading a paper, the professor starts reading a new paper. The professor is flying home for thanksgiving and estimates that they will have 3 hours of flight time available to read the papers. What is the smallest number of papers that the professor should bring with them, if the professor wishes the probability of running out of papers to read to be less than 0.45?

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