Suppose that trees are distributed in a forest according
Chapter 4, Problem 91E(choose chapter or problem)
Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with parameter a, the expected number of trees per acre, equal to 80. a.? ?What is the probability that in a certain quarter-acre plot, there will be at most 16 trees? b.? ?If the forest covers 85,000 acres, what is the expected number of trees in the forest? c. ?Suppose you select a point in the forest and construct a circle of radius .1 mile. Let X = the number of trees within that circular region. What is the pmf of X? [Hint: 1sq mile = 640 acres.]
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