Factors identifying urban counties. Refer to the Professional Geographer (Feb. 2000) study...

Factors identifying urban counties. Refer to the Professional Geographer (Feb. 2000) study of urban and rural counties presented in Exercise 3.123 (p. 161). Forty-five percent of county 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. 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?

Exercise 3.123

Factors identifying urban counties. Urban and rural describe geographic areas upon which land-zoning regulations, school district policy, and public-service policy are often set. However, the characteristics of urban and rural areas are not clearly defined. 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 urban counties. (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 pie chart below. Suppose one of the commissioners is selected at random and the most important factor specified by the commissioner is recorded.

a. List the sample points for this, experiment.

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b. Assign reasonable probabilities to the sample points.

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c. Find the probability that the most important factor specified by the commissioner is population related.