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Researchers at the University of Nevada at Reno asked a sample of county commissioners to give their perception of the single most important factor in identifying study of urban countries (Professional Geographer, Feb. 2000.) In all, five factors were mentioned by the commissioners; total population, agricultural change, presence of industry, growth and population concentration.

The survey results are displayed in the following pie chart. (Values in the chart are percentages.) Forty-five percent of country commissioners in Nevada feel that "population concentration" is the single most important factor used in identifying urban counties. Suppose 10 county commissioners are selected at random to serve on a Nevada review board that will consider redefining urban and rural areas.

A. What is the probability that more than half of the commissioners will specify "population concentration" as the single most important factor used in identifying urban counties?

(See attached file.)

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