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Suppose that birds arrive on an island at times of a rate 1 Poisson process. At times of a ratePoisson process, storms occur, which force

Suppose that birds arrive on an island at times of a rate 1 Poisson process. At times of a ratePoisson process, storms occur, which force all birds on the island to fly away. LetX(t) denote the number of birds on the island at timet. What is the stationary distribution of (X(t), t0)?

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