A national park is famous for its beautiful desert landscape and its many natura

Question

A national park is famous for its beautiful desert landscape and its many natural rock formations. The following table is based on information gathered by a park ranger of all rock formations of at least 3 feet. The height of the rock formation is rounded to the nearest foot. Height of rock formation, feet Number of rock formations in park 118 3-9 10-29 30-49 50-74 75 and higher 99 38 26 For a rock formation chosen at random from this park, use the preceding information to estimate the probability that the height of the rock formation is as follows. (Round your answers to two decimal places.) (a) 3 to 9 feet (b) 30 feet or taller (c) 3 to 49 feet (d) 10 to 74 feet (e) 75 feet or taller

Explanation / Answer

total rocks = 118 + 99 + 38 + 26 + 11 = 292

a) P(3 to 9 feet) = 118 / 292 = 0.40

b) P(30 feet or taller) = P(30-49) + P(50-74) + P(75 and higher) = 38/292 + 26/292 + 11/292 = 0.26

c) P(3 to 49 feet) = P(3-9) + P(10-29) + P(30-49) = 118/292 + 99/292 + 38/292 = 0.87

d) P(10 to 74 feet) = P(10-29) + P(30-49) + P(50-74) = 99/292 + 38/292 + 26/292 = 0.56

e) P(75 feet or taller) = 11/292 = 0.04

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