Suppose that trees are distributed in a forest
Chapter 3, Problem 91(choose chapter or problem)
Suppose that trees are distributed in a forest according toa two-dimensional Poisson process with parameter a, theexpected number of trees per acre, equal to 80.a. What is the probability that in a certain quarter-acreplot, there will be at most 16 trees?b. If the forest covers 85,000 acres, what is the expectednumber of trees in the forest?c. Suppose you select a point in the forest and constructa circle of radius .1 mile. Let X = the number oftrees within that circular region. What is the pmf ofX? [Hint: 1 sq mile = 640 acres.]
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