Statistics

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Accidents on a bike path. 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.
(a) Explain why this curve satisﬁes the two requirements for a density curve.
(b) The proportion of accidents that occur in the ﬁrst mile of the path is the area
under the density curve between 0 miles and 1 mile. What is this area?
(c) Sue’s property adjoins the bike path between the 0.8 mile mark and the 1.1
mile mark. What proportion of accidents happen in front of Sue’s property?

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1.3

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