Let X be the distribution of car speeds along a stretch of highway, and let Y be

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Let X be the distribution of car speeds along a stretch of highway, and let Y be the corresponding stopping distances. The stopping distance is the distance it takes for a car to come to a stop in an emergency. X is measured in kilometres per hour, and Y is measured in metres. The two variables are related as Y =

X 2

130

Fig. 39.13 shows modelled PDFs for X and Y. Say which of the two curves corresponds to speed, and which to stopping distance. Briefly explain your answer.

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