In: Statistics and Probability
Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with lambda the expected number of trees per acre given by 80.
(a)(3pts) What is the probability that in a certain quarter acre plot there will be at most 16 trees?
(b)(2pts) If the forest covers 85,000 acres what is the expected number of trees in the forest?
Please provide the answer in Rstudio code. Thank you.
The above answer by R - software as follows
Answer by R software is 7650000 is nearly nearly same with theoritical answer.
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