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(3.02) Examining the location of accidents on a level, 5-mile bike path shows that they occur uniformly along the length of the path. Figure 3.4 displays the density curve that describes the distribution of accidents. Height-1/5-- 0 Distance along bike path (miles) eBook Step 1: Explain why this curve satisfies the two requirements for a density curve Because it is symmetrical with respect to the vertical line at x-1.5 and the area beneath the curve does not extend 1 Because it is on or above the horizontal axis and the area beneath the curve is 1 Because it is a smooth curve on or above the horizontal axis Because it is on the nonnegative part of the x-axis and the area beneath the curve is 1. Step 2: The proportion of accidents that occur in the first 2 miles of the path is the area under the density curve between 0 miles and 2 miles What is this area? 1/10 2/3 1/6 2/5Step 3: There is a stream alongside the bike path between the 0.7 mile mark and the 1.5 mile mark. What proportion of accidents happen on the bike path alongside the stream? (Give your answer to two decimal places.) Step 4: The bike path is a paved path through the woods, and there is a road at each end. What proportion of accidents happen more than 1 mile from either road? (Give your answer to one decimal place.)

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Step 1) because it is on or above the horizontal axis and area beneath the curve is 1.

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