Final answer:
About 3% of accidents occurred along the section of the bike path between the 0.8 mile mark and the 1.1 mile mark. The 70th percentile of this distribution is 7 miles.
Step-by-step explanation:
To find the percentage of accidents that occurred along the section of the bike path between the 0.8 mile mark and the 1.1 mile mark, we need to calculate the length of this section. The length of a section can be found by subtracting the lower limit from the upper limit: 1.1 - 0.8 = 0.3 miles.
Next, we need to find the total length of the bike path. Let's assume the bike path is 10 miles long. To find the percentage, we can use the formula: (length of section / total length of bike path) x 100. Plugging in the values, we get: (0.3 / 10) x 100 = 3%. So, about 3% of accidents occurred along this section of the bike path.
To find the 70th percentile of this distribution, we need to understand that a percentile represents the value below which a certain percentage of data falls. In this case, we want to find the value below which 70% of the data falls. Using the same example of a 10-mile bike path, the length of the section between the 0.8 and 1.1 mile mark is 0.3 miles. To find the 70th percentile, we can use the formula: (percentile / 100) x total length of bike path. Plugging in the values, we get: (70 / 100) x 10 = 7 miles. Therefore, the 70th percentile of this distribution is 7 miles.