In a study investigating the effect of car speed on accident severity, 5000 reports of fatal automobile accidents were examined, and the vehicle speed at impact was recorded for each one. For these 5000 accidents, the average speed was 43 mph and that the standard deviation was 12 mph. A histogram revealed that the vehicle speed at impact distribution was approximately normal.
(a) Roughly what proportion of vehicle speeds were between 31
and 55 mph? (Round the answer to the nearest whole number.)
Approximately %
(b) Roughly what proportion of vehicle speeds exceeded 55 mph?
(Round the answer to the nearest whole number.)
Approximately %
Ansa: proportion
of vehicle speeds were between 31 and 55 mph is 68 %
Ansb: proportion of vehicle speeds exceeded 55 mph is 16 %
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