Suppose that plants of a particular species are randomly dispersed over an area so that
Chapter 4, Problem 4.173(choose chapter or problem)
Suppose that plants of a particular species are randomly dispersed over an area so that the number of plants in a given area follows a Poisson distribution with a mean density of plants per unit area. If a plant is randomly selected in this area, find the probability density function of the distance to the nearest neighboring plant. [Hint: If R denotes the distance to the nearest neighbor, then P(R > r) is the same as the probability of seeing no plants in a circle of radius r.]
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