A certain species of European mite is capable of damaging the bark on orange trees. The following are the results of inspections done on one hundred saplings chosen at random from a large orchard. The measurement recorded, X, is the number of mite infestations found on the trunk of each tree. Is it reasonable to assume that X is a Poisson random variable? If not, which of the Poisson model assumptions is likely not to be true?

No. of Infestations, k                         No. of Trees

0……………………………..            55

1……………………………..            20

2……………………………..            21

3……………………………..             1

4……………………………..             1

5……………………………..             1

6……………………………..             0

7……………………………..             1