Dispersion models: Animal populations move about and disperse. A number of models for this dispersion have been proposed, and many of them involve the logarithm. For example, in 1965 O. H. Paris30...

Dispersion models: Animal populations move about and disperse. A number of models for this dispersion have been proposed, and many of them involve the logarithm. For example, in 1965 O. H. Paris30 released a large number of pill bugs and after 12 hours recorded the number n of individuals that could be found within r meters from the point of release. He reported that the most satisfactory model for this dispersion was

a. Make a graph of n againstr for the circle around the release point with radius 15 meters.

b. How many pill bugs were to be found within 2 meters from the release point?

c. How far from the release point would you expect to find only a single individual?