The positions of palm trees on a large island may be assumed to be randomly located according to a two-dimensional Poisson process with density λ = 20 per square kilometre. A rectangular region of the island that is 300 metres long by 400 metres wide is marked out for detailed study. (1) Explain briefly (in one or two sentences) how you would simulate the positions of the palm trees in this region. (2) Use the method that you have just described and groups of five digits from the 25th row of the table of random digits in the Handbook (beginning 44534, 68811, ...) to simulate the positions of the palm trees in the region. Calculate the coordinates of the palm trees to the nearest metre. (3) Plot the positions of the palm trees on a sketch of the region. (No graph paper or separate pieces of paper are needed for this; an accurate diagram is not required.)
The positions of palm trees on a large island may be assumed to be randomly located according to a two-dimensional Poisson process with density λ = 20 per square kilometre. A rectangular region of the island that is 300 metres long by 400 metres wide is marked out for detailed study. (1) Explain briefly (in one or two sentences) how you would simulate the positions of the palm trees in this region. (2) Use the method that you have just described and groups of five digits from the 25th row of the table of random digits in the Handbook (beginning 44534, 68811, ...) to simulate the positions of the palm trees in the region. Calculate the coordinates of the palm trees to the nearest metre. (3) Plot the positions of the palm trees on a sketch of the region. (No graph paper or separate pieces of paper are needed for this; an accurate diagram is not required.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The positions of palm trees on a large island may be assumed to be
randomly located according to a two-dimensional Poisson process with
density λ = 20 per square kilometre. A rectangular region of the island
that is 300 metres long by 400 metres wide is marked out for detailed
study.
(1) Explain briefly (in one or two sentences) how you would
simulate the positions of the palm trees in this region.
(2) Use the method that you have just described and groups of
five digits from the 25th row of the table of random digits in
the Handbook (beginning 44534, 68811, ...) to simulate the
positions of the palm trees in the region. Calculate the
coordinates of the palm trees to the nearest metre.
(3) Plot the positions of the palm trees on a sketch of the region.
(No graph paper or separate pieces of paper are needed for this;
an accurate diagram is not required.)
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