Examining the location of accidents on a level, 3-mile bike path shows that they

Question

Examining the location of accidents on a level, 3-mile bike path shows that they occur uniformly along the length of the path. This figure displays the density curve that describes the distribution of accidents. (a) The proportion of accidents that occur up to mile 1.2 of the path is the area under the density curve between 0 miles and 1.2 miles. What is this area? (b) Sue's property adjoins the bike path between the 1.2 mile mark and the 1.5| mile mark. What proportion of accidents happen in front of Sue's property?

Explanation / Answer

a)

P( 0<x<1.2) =P( x <1.2) – P( x <0)

=0.4-0

=0.4

b).

P(1.2<x<1.5) =P( x <1.5) – P( x <1.2)

= 0.5-0.4

=0.1

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