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A survey on road safety done by one of the students at Vaughn College last year...

A survey on road safety done by one of the students at Vaughn College last year reported the relative speed, rounded to the nearest 5 mph, of cars involved in accidents. The percentages at different speeds were:

20 mph or less 2.0%

25 or 30 mph 29.7%

35 or 40 mph 30.4%

45 or 50 mph 16.5%

55 mph 19.2%

60 or 65 mph 2.2%

(a) From these data, can we conclude that it is safe to drive at high speeds? Why or why not?

(b) Why do most accidents occur in the 35 or 40 mph and in the 25 or 30 mph ranges?

(c) Construct a density histogram using the end- points 0, 22.5, 32.5, 42.5, 52.5, 57.5, 67.5 for the intervals.

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