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

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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 of trees within that circular region. What is the pmf of X? [Hint:

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

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Question Posted: Sep 21, 2024 10:04 AM

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

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Probability And Statistics For Engineering And The Sciences

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