Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with parameter ar, the exp

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Suppose That Trees Are Distributed In A Forest According To A Two Dimensional Poisson Process With Parameter Ar The Exp 1 (13.71 KiB) Viewed 20 times

Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with parameter ar, the expected number of trees per acre, equal to 60. (a) What is the probability that in a certain quarter-acre plot, there will be at most 15 trees? (Round your answer to three decimal places.) (b) If the forest covers 90,000 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 0.1 mile. Let X the number of trees within that circular region. What is the pmf of X? (Hint: 1 sq mile-640 acres.) P(x) = You may need to use the appropriate table in the Appendix of Tables to answer this question