Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with parameter a,
Question:
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? [1 sq mile = 640 acres.]
Step by Step Answer:
a For a quarteracre 25 acre plot the mean parameter is 8025 20 so PX 16 F16 20 2...View the full answer
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
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