5 The number of species of plants per square metre in a certain region of bush is 3.8 on average. (a) List the characteristics of this description that would lead you to model the number of species with a Poisson distribution. (b) What is the standard deviation of the number of species per square metre in that region? (c) Find the probability of finding no plants (of any type) in a square metre. (d) Find the probability of finding 10 or more species in a square metre.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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5 The number of species of plants per square metre in a certain region of bush is 3.8 on average.
(a) List the characteristics of this description that would lead you to model the number of
species with a Poisson distribution.
(b) What is the standard deviation of the number of species per square metre in that region?
(c) Find the probability of finding no plants (of any type) in a square metre.
(d) Find the probability of finding 10 or more species in a square metre.
Transcribed Image Text:5 The number of species of plants per square metre in a certain region of bush is 3.8 on average. (a) List the characteristics of this description that would lead you to model the number of species with a Poisson distribution. (b) What is the standard deviation of the number of species per square metre in that region? (c) Find the probability of finding no plants (of any type) in a square metre. (d) Find the probability of finding 10 or more species in a square metre.
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