An entomologist was interested in studying the infestion of adult European red mites on apple trees in a Michigan orchard. She randomly selected 50 leaves from each of 10 similar apple trees in the orchard, examined the leaves, and recorded the number of mites on each of the 500 leaves. As a part of a larger study, she wanted to simulate the distribution of mites on the trees in the orchard. Thus, the Poisson distribution was suggested as a possible model. Based on the data given here, does the Poisson distribution appear to be a plausible model for the concentration of European red mites on apple trees?
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