Mathematics, 12.08.2021 16:30, Zaynt

As in an earlier exercise, busy people leave the park according to a Poisson process with rate /hour. Relaxed people leave the park according to an independent Poisson process with rate /hour. Each person, upon leaving the park, makes a decision whether to enter the nearby coffee shop. Each busy person decides to enter the coffee shop with probability . Each relaxed person decides to enter the coffee shop with probability . The decisions of different persons are independent, and also independent from all other aspects of the Poisson processes that define this model. Assume that no other people enter the coffee shop. Is the process of arrivals at the coffee shop (people entering the coffee shop) a Poisson process

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As in an earlier exercise, busy people leave the park according to a Poisson process with rate /hour...