26. A farmer, plagued by insects, seeks to attract birds to his property by distributing seeds over...

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26. A farmer, plagued by insects, seeks to attract birds to his property by distributing seeds over a wide area. Let λ be the average number of seeds per unit area, and suppose that the seeds are distributed in a way that the probability of having any number of seeds in a given area depends only on the size of the area and not on its location. Argue that X, the number of seeds that fall on the area A, is approximately a Poisson random variable with parameter λA.

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