SOLUTION: Speed trap on the highway set by the O.P.P. shows that the mean speed of cars is 103.4 km/h with a standard deviation of 9.8 km/h. The posted speed limit on the highway is 100 km/

Algebra ->  Probability-and-statistics -> SOLUTION: Speed trap on the highway set by the O.P.P. shows that the mean speed of cars is 103.4 km/h with a standard deviation of 9.8 km/h. The posted speed limit on the highway is 100 km/      Log On


   



Question 454517: Speed trap on the highway set by the O.P.P. shows that the mean speed of cars is 103.4 km/h with a standard deviation of 9.8 km/h. The posted speed limit on the highway is 100 km/h.
Police officers tend not to pull over drivers between 100 km/h and 110 km/h. What percentage of drivers is this?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
z(below M)=(100-103.4)/9.8= -0.3469
z(above M)=(110-103.4)/9.8= 0.6735
.
Area under curve -0.3469 to 0 = 0.1357
Area under curve 0 to 0.6735 = 0.2497
0.1357+0.2497=.3854=38.54%
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Ed