An ecologist studying the breeding habits of birds sent volunteers from the local chapter of the Audubon Society into the field to count nesting sites for a particular species. Each team was to survey five acres of land carefully. Because she was interested in studying the distribution of nesting sites within a particular kind of ecological system, the ecologist was careful to choose survey sites that were as similar as possible. In total, 24 teams surveyed 5 acres each and reported the following numbers of nesting sites in each of the 5-acreparcels:

a. What kind of theoretical distribution might you select to represent the distribution of the number of nesting sites? Why?
b. Run @RISK€™s fitting procedure to determine how well your distribution choice in part a fits the data. Compare the sample mean and sample standard deviation to those of the fitted theoretical distribution.
c. Each of the discrete distributions in @RISK€™s library has trouble matching the probability of nine nesting sites per 5-acre parcel. For example, the data show a 20.8% probability of nine nesting sites, but all the theoretical distributions show only a 4 €“ 8% probability of finding nine nesting sites per five-acre parcels. Is this a problem? If so, what might you do? Explain.

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