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?
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
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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