Mathematics
Mathematics, 16.04.2021 01:00, alghazal7408

Alice and Bob observe a Poisson process with rate parameter of 5 hits per minute. Alice has a tally counter that ticks up by 1 on each hit precisely. Bob has a stopwatch that measures time continuously and perfectly. They decide to play a game while they wait. If Alice's counter goes up by 5 hits before Bob's timer shows that a full minute passes, then Alice wins. If Bob's timer shows a full minute passes before Alice's counter goes up by 5 hits, then Bob wins. (A tie is impossible according to the Poisson process model. Why

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Alice and Bob observe a Poisson process with rate parameter of 5 hits per minute. Alice has a tally...

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