MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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 In the study of a certain aquatic organism, a large number of samples were taken from a pond, and the number of organisms in each sample was counted.  The average number of organisms per sample was found to be two.  Assuming that the number of organisms follows a Poisson distribution, answer the following...

a)  If we were to look at the next 3 samples, what is the average number of organisms?

b) If we were to look at the next 3 samples, what is the standard deviation of the number of organisms?

c) What is the probability that in the next 3 samples taken will contain one or fewer organisms?

d) What is the probability that in the next 3 samples taken will contain exactly three organisms?

e) What is the probability that in the next 3 samples taken will contain more than five organisms?

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