In analysis of the treated water from a sewage treatment process, liquid containing harmful cells was placed on a slide and examined systematically under a microscope. One hundred counts of the number of harmful cells in 1 mm by 1 mm squares were made, with the following frequencies being obtained.
Count
0
1
2
3
4
5
6
7
8
9
10
11
12
Frequency
14
17
19
Fit a Poisson distribution to these data. Calculate expected Poisson frequencies to compare with the observed frequencies. Is the fit reasonably good?
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