In analysis of the treated water from a sewage treatment process

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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

1

3

8

 14

 17

 19

 14

 12

 6

 2

 2

 2

 0

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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