Arches National Park is located in southern Utah. The park is famous for its beautiful desert landscape and its many natural sandstone arches. Park Ranger Edward McCarrick started an inventory (not yet complete) of natural arches within the park that have an opening of atleast 3 feet. The following table is based on the information taken form the book Canyon Country Arches and Bridges, by F.A.Barnes. The height of the arch opening is rounded to the nearest foot.
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Height of Arch
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3 - 9
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10 - 29
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30 - 49
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50 - 74
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75 and higher
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Number of Arches in Park
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111
|
96
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30
|
33
|
18
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For an arch chosen at random in Arches National Park, use the preceding information to estimate the probability that the height of the arch poening is:
a. 3 or 9 feet
b. 30 feet or taller
c. 3 to 49 feet
d. 10 to 74 feet
e. 75 feet or taller