As a way of studying the spread of a plant disease known as creeping rot, a field of cabbage plants was divided into 270 quadrats, each quadrat containing the same number of plants. The following table lists the numbers of plants per quadrat showing signs of creeping rot infestation.
Number of Infected
Plants/Quadrat Number of Quadrats
0…………………………….38
1…………………………….57
2…………………………….68
3…………………………….47
4…………………………….23
5……………………………. 9
6…………………………….10
7……………………………. 7
8……………………………. 3
9……………………………. 4
10…………………………… 2
11…………………………… 1
12…………………………… 1
13+………………………….. 0
Can the number of plants infected with creeping rot per quadrat be described by a Poisson pdf? Let α = 0.05. What might be a physical reason for the Poisson not being appropriate in this situation? Which assumption of the Poisson appears to be violated?